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334081253688 = 233713211766739
BaseRepresentation
bin1001101110010001100…
…10110110000100111000
31011221022200211002200020
410313020302312010320
520433144300104223
6413250320410440
733064562542110
oct4671062660470
91157280732606
10334081253688
11119757181666
12548b7176a20
13256718c4300
1412253612040
158a5475d1e3
hex4dc8cb6138

334081253688 has 96 divisors (see below), whose sum is σ = 1033590441600. Its totient is φ = 88109334144.

The previous prime is 334081253603. The next prime is 334081253719. The reversal of 334081253688 is 886352180433.

It is a happy number.

334081253688 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340812536882 (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 334081253688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5854978 + ... + 5911761.

It is an arithmetic number, because the mean of its divisors is an integer number (10766567100).

Almost surely, 2334081253688 is an apocalyptic number.

It is an amenable number.

334081253688 is an abundant number, since it is smaller than the sum of its proper divisors (699509187912).

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

334081253688 is a wasteful number, since it uses less digits than its factorization.

334081253688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766781 (or 11766764 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 334081253688 in words is "three hundred thirty-four billion, eighty-one million, two hundred fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 9464 14196 28392 11766739 23533478 35300217 47066956 70600434 82367173 94133912 141200868 152967607 164734346 247101519 282401736 305935214 329468692 458902821 494203038 611870428 658937384 917805642 988406076 1070773249 1223740856 1835611284 1976812152 1988578891 2141546498 3212319747 3671222568 3977157782 4283092996 5965736673 6424639494 7954315564 8566185992 11931473346 12849278988 13920052237 15908631128 23862946692 25698557976 27840104474 41760156711 47725893384 55680208948 83520313422 111360417896 167040626844 334081253688