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336071328 = 2534637561
BaseRepresentation
bin10100000010000…
…000101010100000
3212102101012012020
4110002000222200
51142013240303
653203101440
711220362535
oct2402005240
9772335166
10336071328
111627813aa
1294671880
135481a398
14328c2d8c
151e786a53
hex14080aa0

336071328 has 48 divisors (see below), whose sum is σ = 884209536. Its totient is φ = 111767040.

The previous prime is 336071327. The next prime is 336071347. The reversal of 336071328 is 823170633.

336071328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3360713282 = 225887875007367168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336071321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40668 + ... + 48228.

It is an arithmetic number, because the mean of its divisors is an integer number (18421032).

Almost surely, 2336071328 is an apocalyptic number.

It is an amenable number.

336071328 is an abundant number, since it is smaller than the sum of its proper divisors (548138208).

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

336071328 is a wasteful number, since it uses less digits than its factorization.

336071328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 336071328 is about 18332.2483072863. The cubic root of 336071328 is about 695.2545195499.

The spelling of 336071328 in words is "three hundred thirty-six million, seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 463 926 1389 1852 2778 3704 5556 7408 7561 11112 14816 15122 22224 22683 30244 44448 45366 60488 90732 120976 181464 241952 362928 725856 3500743 7001486 10502229 14002972 21004458 28005944 42008916 56011888 84017832 112023776 168035664 336071328