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334365421264 = 24717210330123
BaseRepresentation
bin1001101110110011011…
…10110110111011010000
31011222001111112022022021
410313121232312323100
520434240021440024
6413334431221224
733104613121030
oct4673156667320
91158044468267
10334365421264
111198926219a6
1254976377814
13256b873a8c4
141227d2638c0
158a6e690de4
hex4dd9bb6ed0

334365421264 has 60 divisors (see below), whose sum is σ = 786494320864. Its totient is φ = 134870072832.

The previous prime is 334365421237. The next prime is 334365421307. The reversal of 334365421264 is 462124563433.

It is a super-2 number, since 2×3343654212642 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334365421264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5132694 + ... + 5197429.

Almost surely, 2334365421264 is an apocalyptic number.

334365421264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

334365421264 is an abundant number, since it is smaller than the sum of its proper divisors (452128899600).

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

334365421264 is a wasteful number, since it uses less digits than its factorization.

334365421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330172 (or 10330149 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 43.

Adding to 334365421264 its reverse (462124563433), we get a palindrome (796489984697).

The spelling of 334365421264 in words is "three hundred thirty-four billion, three hundred sixty-five million, four hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1904 2023 2312 4046 4624 8092 16184 32368 10330123 20660246 41320492 72310861 82640984 144621722 165281968 175612091 289243444 351224182 578486888 702448364 1156973776 1229284637 1404896728 2458569274 2809793456 2985405547 4917138548 5970811094 9834277096 11941622188 19668554192 20897838829 23883244376 41795677658 47766488752 83591355316 167182710632 334365421264