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351094240 = 2557313477
BaseRepresentation
bin10100111011010…
…100010111100000
3220110122102202101
4110323110113200
51204340003430
654501100144
711462152240
oct2473242740
9813572671
10351094240
11170202332
12996b7654
135797a293
14348b3b20
1520c52dca
hex14ed45e0

351094240 has 48 divisors (see below), whose sum is σ = 947957472. Its totient is φ = 120374784.

The previous prime is 351094181. The next prime is 351094259. The reversal of 351094240 is 42490153.

It is a super-5 number, since 5×3510942405 (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 351094199 and 351094208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155619 + ... + 157858.

It is an arithmetic number, because the mean of its divisors is an integer number (19749114).

Almost surely, 2351094240 is an apocalyptic number.

It is an amenable number.

351094240 is an abundant number, since it is smaller than the sum of its proper divisors (596863232).

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

351094240 is a wasteful number, since it uses less digits than its factorization.

351094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313499 (or 313491 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 351094240 is about 18737.5089059352. The cubic root of 351094240 is about 705.4635316588.

The spelling of 351094240 in words is "three hundred fifty-one million, ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 313477 626954 1253908 1567385 2194339 2507816 3134770 4388678 5015632 6269540 8777356 10031264 10971695 12539080 17554712 21943390 25078160 35109424 43886780 50156320 70218848 87773560 175547120 351094240