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342113220 = 22345223947
BaseRepresentation
bin10100011001000…
…011101111000100
3212211202011010000
4110121003233010
51200040110340
653540401300
711322625431
oct2431035704
9784664100
10342113220
111661287a9
12966a6230
1355b54477
1433616b88
152007bd30
hex14643bc4

342113220 has 120 divisors (see below), whose sum is σ = 1079172864. Its totient is φ = 90725184.

The previous prime is 342113207. The next prime is 342113231. The reversal of 342113220 is 22311243.

342113220 is a `hidden beast` number, since 342 + 1 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342113193 and 342113202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360787 + ... + 361733.

Almost surely, 2342113220 is an apocalyptic number.

342113220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539586432).

342113220 is an abundant number, since it is smaller than the sum of its proper divisors (737059644).

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

342113220 is a wasteful number, since it uses less digits than its factorization.

342113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342113220 is about 18496.3028738178. The cubic root of 342113220 is about 699.3962276762.

Adding to 342113220 its reverse (22311243), we get a palindrome (364424463).

It can be divided in two parts, 3421 and 13220, that added together give a square (16641 = 1292).

The spelling of 342113220 in words is "three hundred forty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 223 270 324 405 446 540 669 810 892 947 1115 1338 1620 1894 2007 2230 2676 2841 3345 3788 4014 4460 4735 5682 6021 6690 8028 8523 9470 10035 11364 12042 13380 14205 17046 18063 18940 20070 24084 25569 28410 30105 34092 36126 40140 42615 51138 56820 60210 72252 76707 85230 90315 102276 120420 127845 153414 170460 180630 211181 255690 306828 361260 383535 422362 511380 633543 767070 844724 1055905 1267086 1534140 1900629 2111810 2534172 3167715 3801258 4223620 5701887 6335430 7602516 9503145 11403774 12670860 17105661 19006290 22807548 28509435 34211322 38012580 57018870 68422644 85528305 114037740 171056610 342113220