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334065504 = 25317212041
BaseRepresentation
bin10011111010010…
…110111101100000
3212021121021201110
4103322112331200
51141010044004
653052103320
711164336623
oct2372267540
9767537643
10334065504
111616313a3
1293a64b40
13542973c6
143251ddba
151e4dc589
hex13e96f60

334065504 has 72 divisors (see below), whose sum is σ = 931617288. Its totient is φ = 104796160.

The previous prime is 334065503. The next prime is 334065527. The reversal of 334065504 is 405560433.

It is a super-2 number, since 2×3340655042 = 223199521925548032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334065503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21724 + ... + 33764.

It is an arithmetic number, because the mean of its divisors is an integer number (12939129).

Almost surely, 2334065504 is an apocalyptic number.

334065504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334065504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465808644).

334065504 is an abundant number, since it is smaller than the sum of its proper divisors (597551784).

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

334065504 is a wasteful number, since it uses less digits than its factorization.

334065504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 334065504 is about 18277.4589043444. The cubic root of 334065504 is about 693.8685618972.

The spelling of 334065504 in words is "three hundred thirty-four million, sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 9248 12041 13872 24082 27744 36123 48164 72246 96328 144492 192656 204697 288984 385312 409394 577968 614091 818788 1155936 1228182 1637576 2456364 3275152 3479849 4912728 6550304 6959698 9825456 10439547 13919396 19650912 20879094 27838792 41758188 55677584 83516376 111355168 167032752 334065504