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335402864 = 24297110181
BaseRepresentation
bin10011111111011…
…101011101110000
3212101010020020022
4103333131131300
51141330342424
653140503012
711211606626
oct2377353560
9771106208
10335402864
11162365155
12943aaa68
1354645044
143278b516
151e6a395e
hex13fdd770

335402864 has 40 divisors (see below), whose sum is σ = 681786720. Its totient is φ = 159622400.

The previous prime is 335402863. The next prime is 335402869. The reversal of 335402864 is 468204533.

It is a super-2 number, since 2×3354028642 = 224990162358804992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335402863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27854 + ... + 38034.

It is an arithmetic number, because the mean of its divisors is an integer number (17044668).

Almost surely, 2335402864 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 335402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340893360).

335402864 is an abundant number, since it is smaller than the sum of its proper divisors (346383856).

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

335402864 is a wasteful number, since it uses less digits than its factorization.

335402864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 335402864 is about 18314.0073168054. The cubic root of 335402864 is about 694.7932473351.

The spelling of 335402864 in words is "three hundred thirty-five million, four hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 464 568 1136 2059 4118 8236 10181 16472 20362 32944 40724 81448 162896 295249 590498 722851 1180996 1445702 2361992 2891404 4723984 5782808 11565616 20962679 41925358 83850716 167701432 335402864