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344120422322340 = 2232519271371291537
BaseRepresentation
bin100111000111110011100011…
…1100010000101000010100100
31200010102120221220102002221100
41032033213013202011002210
5330101032111103303330
63215514423430520100
7132324610601434626
oct11617470742050244
91603376856362840
10344120422322340
119a713719222304
1232718a15206030
1311a0255530b131
1460d97356ccc16
1529bb56660e060
hex138f9c78850a4

344120422322340 has 144 divisors (see below), whose sum is σ = 1102824977829120. Its totient is φ = 86614889518080.

The previous prime is 344120422322323. The next prime is 344120422322353. The reversal of 344120422322340 is 43223224021443.

344120422322340 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 2 + 0 + 422 + 3 + 223 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344120422322295 and 344120422322304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184718949 + ... + 186572588.

It is an arithmetic number, because the mean of its divisors is an integer number (7658506790480).

Almost surely, 2344120422322340 is an apocalyptic number.

344120422322340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344120422322340 is an abundant number, since it is smaller than the sum of its proper divisors (758704555506780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344120422322340 is a wasteful number, since it uses less digits than its factorization.

344120422322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371291842 (or 371291837 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344120422322340 its reverse (43223224021443), we get a palindrome (387343646343783).

The spelling of 344120422322340 in words is "three hundred forty-four trillion, one hundred twenty billion, four hundred twenty-two million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 271 285 342 380 542 570 684 813 855 1084 1140 1355 1626 1710 2439 2710 3252 3420 4065 4878 5149 5420 8130 9756 10298 12195 15447 16260 20596 24390 25745 30894 46341 48780 51490 61788 77235 92682 102980 154470 185364 231705 308940 463410 926820 371291537 742583074 1113874611 1485166148 1856457685 2227749222 3341623833 3712915370 4455498444 5569373055 6683247666 7054539203 7425830740 11138746110 13366495332 14109078406 16708119165 21163617609 22277492220 28218156812 33416238330 35272696015 42327235218 63490852827 66832476660 70545392030 84654470436 100620006527 105818088045 126981705654 141090784060 201240013054 211636176090 253963411308 301860019581 317454264135 402480026108 423272352180 503100032635 603720039162 634908528270 905580058743 1006200065270 1207440078324 1269817056540 1509300097905 1811160117486 1911780124013 2012400130540 3018600195810 3622320234972 3823560248026 4527900293715 5735340372039 6037200391620 7647120496052 9055800587430 9558900620065 11470680744078 17206021116117 18111601174860 19117801240130 22941361488156 28676701860195 34412042232234 38235602480260 57353403720390 68824084464468 86030105580585 114706807440780 172060211161170 344120422322340