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345913960 = 23571772671
BaseRepresentation
bin10100100111100…
…011101001101000
3220002220020202011
4110213203221220
51202023221320
654154045304
711400135340
oct2447435150
9802806664
10345913960
11168294307
1297a19834
1356885422
1433d25d20
152057d05a
hex149e3a68

345913960 has 64 divisors (see below), whose sum is σ = 941829120. Its totient is φ = 111621120.

The previous prime is 345913957. The next prime is 345913961. The reversal of 345913960 is 69319543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (345913961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31576 + ... + 41095.

It is an arithmetic number, because the mean of its divisors is an integer number (14716080).

Almost surely, 2345913960 is an apocalyptic number.

It is an amenable number.

345913960 is an abundant number, since it is smaller than the sum of its proper divisors (595915160).

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

345913960 is a wasteful number, since it uses less digits than its factorization.

345913960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72706 (or 72702 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 345913960 is about 18598.7623244129. The cubic root of 345913960 is about 701.9766985499.

The spelling of 345913960 in words is "three hundred forty-five million, nine hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 72671 145342 290684 363355 508697 581368 726710 1017394 1235407 1453420 2034788 2470814 2543485 2906840 4069576 4941628 5086970 6177035 8647849 9883256 10173940 12354070 17295698 20347880 24708140 34591396 43239245 49416280 69182792 86478490 172956980 345913960