Search a number
-
+
340324132132440 = 233253721725400887
BaseRepresentation
bin100110101100001011110001…
…1000000010001011001011000
31122121222200001220122222020200
41031120113203000101121120
5324101332310311214230
63203450425321022200
7131453415152311431
oct11530274300213130
91577880056588220
10340324132132440
119948a7213a20a5
123220511b324960
13117b85742ab791
146007ac1046488
15295292962b160
hex13585e3011658

340324132132440 has 96 divisors (see below), whose sum is σ = 1106083192013280. Its totient is φ = 90750659844096.

The previous prime is 340324132132433. The next prime is 340324132132483. The reversal of 340324132132440 is 44231231423043.

340324132132440 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 2 + 4 + 1 + 321 + 324 + 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 = 340324132132395 and 340324132132404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697677 + ... + 26098563.

It is an arithmetic number, because the mean of its divisors is an integer number (11521699916805).

Almost surely, 2340324132132440 is an apocalyptic number.

340324132132440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340324132132440 is an abundant number, since it is smaller than the sum of its proper divisors (765759059880840).

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

340324132132440 is a wasteful number, since it uses less digits than its factorization.

340324132132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25438121 (or 25438114 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 340324132132440 its reverse (44231231423043), we get a palindrome (384555363555483).

The spelling of 340324132132440 in words is "three hundred forty trillion, three hundred twenty-four billion, one hundred thirty-two million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 37217 74434 111651 148868 186085 223302 297736 334953 372170 446604 558255 669906 744340 893208 1116510 1339812 1488680 1674765 2233020 2679624 3349530 4466040 6699060 13398120 25400887 50801774 76202661 101603548 127004435 152405322 203207096 228607983 254008870 304810644 381013305 457215966 508017740 609621288 762026610 914431932 1016035480 1143039915 1524053220 1828863864 2286079830 3048106440 4572159660 9144319320 945344811479 1890689622958 2836034434437 3781379245916 4726724057395 5672068868874 7562758491832 8508103303311 9453448114790 11344137737748 14180172172185 17016206606622 18906896229580 22688275475496 28360344344370 34032413213244 37813792459160 42540516516555 56720688688740 68064826426488 85081033033110 113441377377480 170162066066220 340324132132440