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338145792 = 293220147
BaseRepresentation
bin10100001001111…
…011001000000000
3212120021120211020
4110021323020000
51143031131132
653315345440
711244122535
oct2411731000
9776246736
10338145792
11163968a36
12952b2280
135509568a
1432ca2d8c
151ea4652c
hex1427b200

338145792 has 40 divisors (see below), whose sum is σ = 900845616. Its totient is φ = 112714752.

The previous prime is 338145763. The next prime is 338145803. The reversal of 338145792 is 297541833.

It is a super-2 number, since 2×3381457922 = 228685153294614528, which contains 22 as substring.

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, 108538 + ... + 111609.

Almost surely, 2338145792 is an apocalyptic number.

338145792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338145792 is an abundant number, since it is smaller than the sum of its proper divisors (562699824).

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

338145792 is an equidigital number, since it uses as much as digits as its factorization.

338145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220168 (or 220152 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 338145792 is about 18388.7409030635. The cubic root of 338145792 is about 696.6821163163.

The spelling of 338145792 in words is "three hundred thirty-eight million, one hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 220147 440294 660441 880588 1320882 1761176 2641764 3522352 5283528 7044704 10567056 14089408 21134112 28178816 42268224 56357632 84536448 112715264 169072896 338145792