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356420672 = 2629192037
BaseRepresentation
bin10101001111101…
…000110001000000
3220211200001020122
4111033220301000
51212220430142
655211155412
711555345216
oct2517506100
9824601218
10356420672
11173210143
129b445b68
1358ac380a
143549ccb6
15214561d2
hex153e8c40

356420672 has 28 divisors (see below), whose sum is σ = 731664780. Its totient is φ = 172064256.

The previous prime is 356420663. The next prime is 356420689. The reversal of 356420672 is 276024653.

It can be written as a sum of positive squares in 2 ways, for example, as 116294656 + 240126016 = 10784^2 + 15496^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94163 + ... + 97874.

It is an arithmetic number, because the mean of its divisors is an integer number (26130885).

Almost surely, 2356420672 is an apocalyptic number.

356420672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

356420672 is an abundant number, since it is smaller than the sum of its proper divisors (375244108).

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

356420672 is a wasteful number, since it uses less digits than its factorization.

356420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192078 (or 192068 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 356420672 is about 18879.1067585307. The cubic root of 356420672 is about 709.0131578687.

The spelling of 356420672 in words is "three hundred fifty-six million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 192037 384074 768148 1536296 3072592 5569073 6145184 11138146 12290368 22276292 44552584 89105168 178210336 356420672