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334526304 = 25372931699
BaseRepresentation
bin10011111100000…
…111011101100000
3212022110200211010
4103330013131200
51141114320204
653110020520
711201266230
oct2374073540
9768420733
10334526304
11161916622
1294047740
13543c9078
14325ddcc0
151e57dd89
hex13f07760

334526304 has 96 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 95196672.

The previous prime is 334526299. The next prime is 334526317. The reversal of 334526304 is 403625433.

334526304 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 (96).

It is a super-2 number, since 2×3345263042 = 223815696135800832, which contains 22 as substring.

It is a congruent number.

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, 196047 + ... + 197745.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2334526304 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 334526304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

334526304 is an abundant number, since it is smaller than the sum of its proper divisors (673070496).

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

334526304 is a wasteful number, since it uses less digits than its factorization.

334526304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 334526304 is about 18290.0602514043. The cubic root of 334526304 is about 694.1874491924.

The spelling of 334526304 in words is "three hundred thirty-four million, five hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 293 336 586 672 879 1172 1699 1758 2051 2344 3398 3516 4102 4688 5097 6153 6796 7032 8204 9376 10194 11893 12306 13592 14064 16408 20388 23786 24612 27184 28128 32816 35679 40776 47572 49224 54368 65632 71358 81552 95144 98448 142716 163104 190288 196896 285432 380576 497807 570864 995614 1141728 1493421 1991228 2986842 3484649 3982456 5973684 6969298 7964912 10453947 11947368 13938596 15929824 20907894 23894736 27877192 41815788 47789472 55754384 83631576 111508768 167263152 334526304