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313034312034 = 232791038772437
BaseRepresentation
bin1001000111000100100…
…11001000100101100010
31002220222220021200110200
410203202103020211202
520112043240441114
6355450031410030
731421165515143
oct4434223104542
91086886250420
10313034312034
11110836787904
1250802683916
1323699355192
141121827daca
158221b3c409
hex48e24c8962

313034312034 has 96 divisors (see below), whose sum is σ = 694570206720. Its totient is φ = 101865568896.

The previous prime is 313034311991. The next prime is 313034312039. The reversal of 313034312034 is 430213430313.

313034312034 is a `hidden beast` number, since 313 + 0 + 3 + 4 + 312 + 0 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313034311989 and 313034312007.

It is not an unprimeable number, because it can be changed into a prime (313034312039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128449464 + ... + 128451900.

It is an arithmetic number, because the mean of its divisors is an integer number (7235106320).

Almost surely, 2313034312034 is an apocalyptic number.

313034312034 is an abundant number, since it is smaller than the sum of its proper divisors (381535894686).

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

313034312034 is a wasteful number, since it uses less digits than its factorization.

313034312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313034312034 its reverse (430213430313), we get a palindrome (743247742347).

The spelling of 313034312034 in words is "three hundred thirteen billion, thirty-four million, three hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 9 18 79 103 158 206 237 309 474 618 711 877 927 1422 1754 1854 2437 2631 4874 5262 7311 7893 8137 14622 15786 16274 21933 24411 43866 48822 69283 73233 90331 138566 146466 180662 192523 207849 251011 270993 385046 415698 502022 541986 577569 623547 753033 812979 1155138 1247094 1506066 1625958 1732707 2137249 2259099 3465414 4274498 4518198 6411747 7136149 12823494 14272298 19235241 19829869 21408447 38470482 39659738 42816894 59489607 64225341 118979214 128450682 168842671 178468821 220136647 337685342 356937642 440273294 506528013 660409941 1013056026 1320819882 1519584039 1981229823 3039168078 3962459646 17390795113 34781590226 52172385339 104344770678 156517156017 313034312034