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334103486964 = 2231317373404911
BaseRepresentation
bin1001101110010100001…
…11101010000111110100
31011221101020122122222220
410313022013222013310
520433220443040324
6413252433122340
733065252532132
oct4671207520764
91157336578886
10334103486964
11119768787875
12549026b93b0
13256763aa0b0
141225655c752
158a566a0b79
hex4dca1ea1f4

334103486964 has 96 divisors (see below), whose sum is σ = 912952244736. Its totient is φ = 94138951680.

The previous prime is 334103486921. The next prime is 334103486989. The reversal of 334103486964 is 469684301433.

It is a happy number.

334103486964 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341034869642 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604332 + ... + 1800579.

It is an arithmetic number, because the mean of its divisors is an integer number (9509919216).

Almost surely, 2334103486964 is an apocalyptic number.

334103486964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

334103486964 is an abundant number, since it is smaller than the sum of its proper divisors (578848757772).

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

334103486964 is a wasteful number, since it uses less digits than its factorization.

334103486964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404985 (or 3404983 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 334103486964 in words is "three hundred thirty-four billion, one hundred three million, four hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 37 39 51 52 68 74 78 102 111 148 156 204 221 222 442 444 481 629 663 884 962 1258 1326 1443 1887 1924 2516 2652 2886 3774 5772 7548 8177 16354 24531 32708 49062 98124 3404911 6809822 10214733 13619644 20429466 40858932 44263843 57883487 88527686 115766974 125981707 132791529 173650461 177055372 231533948 251963414 265583058 347300922 377945121 503926828 531166116 694601844 752485331 755890242 1504970662 1511780484 1637762191 2141689019 2257455993 3009941324 3275524382 4283378038 4514911986 4913286573 6425067057 6551048764 8566756076 9029823972 9826573146 12850134114 19653146292 25700268228 27841957247 55683914494 83525871741 111367828988 167051743482 334103486964