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312430424304 = 24331209966683
BaseRepresentation
bin1001000101111100100…
…11011111000011110000
31002212102210222000020110
410202332103133003300
520104324142034204
6355310100141320
731400213534415
oct4427623370360
91085383860213
10312430424304
11110556914039
1250674397840
13236011c7b6b
141119bda410c
1581d8b02889
hex48be4df0f0

312430424304 has 40 divisors (see below), whose sum is σ = 833147802112. Its totient is φ = 100784007360.

The previous prime is 312430424231. The next prime is 312430424309. The reversal of 312430424304 is 403424034213.

It is a happy number.

It is a super-2 number, since 2×3124304243042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312430424309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104981854 + ... + 104984829.

Almost surely, 2312430424304 is an apocalyptic number.

It is an amenable number.

312430424304 is an abundant number, since it is smaller than the sum of its proper divisors (520717377808).

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

312430424304 is a wasteful number, since it uses less digits than its factorization.

312430424304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209966725 (or 209966719 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312430424304 its reverse (403424034213), we get a palindrome (715854458517).

The spelling of 312430424304 in words is "three hundred twelve billion, four hundred thirty million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 209966683 419933366 629900049 839866732 1259800098 1679733464 2519600196 3359466928 5039200392 6508967173 10078400784 13017934346 19526901519 26035868692 39053803038 52071737384 78107606076 104143474768 156215212152 312430424304