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334304292 = 22378997461
BaseRepresentation
bin10011111011010…
…001010000100100
3212022001102021110
4103323101100210
51141040214132
653101145020
711166353040
oct2373212044
9768042243
10334304292
11161784843
1293b5b170
135434bcba
1432583020
151e5381cc
hex13ed1424

334304292 has 96 divisors (see below), whose sum is σ = 912764160. Its totient is φ = 93265920.

The previous prime is 334304291. The next prime is 334304309. The reversal of 334304292 is 292403433.

334304292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3343042922 = 223518719299242528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334304291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724942 + ... + 725402.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2334304292 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 334304292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456382080).

334304292 is an abundant number, since it is smaller than the sum of its proper divisors (578459868).

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

334304292 is a wasteful number, since it uses less digits than its factorization.

334304292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 334304292 is about 18283.9900459391. The cubic root of 334304292 is about 694.0338468711.

The spelling of 334304292 in words is "three hundred thirty-four million, three hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 97 178 194 267 291 356 388 461 534 582 623 679 922 1068 1164 1246 1358 1383 1844 1869 2037 2492 2716 2766 3227 3738 4074 5532 6454 7476 8148 8633 9681 12908 17266 19362 25899 34532 38724 41029 44717 51798 60431 82058 89434 103596 120862 123087 134151 164116 178868 181293 241724 246174 268302 287203 313019 362586 492348 536604 574406 626038 725172 861609 939057 1148812 1252076 1723218 1878114 3446436 3756228 3979813 7959626 11939439 15919252 23878878 27858691 47757756 55717382 83576073 111434764 167152146 334304292