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335089664 = 2127132931
BaseRepresentation
bin10011111110010…
…001000000000000
3212100112022121022
4103332101000000
51141240332124
653130045012
711206133540
oct2376210000
9770468538
10335089664
11162170908
1294279768
1354565610
1432709320
151e640c5e
hex13f91000

335089664 has 208 divisors, whose sum is σ = 880696320. Its totient is φ = 123863040.

The previous prime is 335089613. The next prime is 335089709. The reversal of 335089664 is 466980533.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×3350896642 = 224570165839265792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10809329 + ... + 10809359.

Almost surely, 2335089664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440348160).

335089664 is an abundant number, since it is smaller than the sum of its proper divisors (545606656).

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

335089664 is a wasteful number, since it uses less digits than its factorization.

335089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 335089664 is about 18305.4544876657. The cubic root of 335089664 is about 694.5769134490.

The spelling of 335089664 in words is "three hundred thirty-five million, eighty-nine thousand, six hundred sixty-four".