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310430064 = 24371754347
BaseRepresentation
bin10010100000001…
…100100101110000
3210122010110222210
4102200030211300
51113432230224
650445332120
710456416630
oct2240144560
9718113883
10310430064
1114a25877a
1287b67040
134c410339
142d32a6c0
151c3be429
hex1280c970

310430064 has 80 divisors (see below), whose sum is σ = 970437888. Its totient is φ = 83475456.

The previous prime is 310430059. The next prime is 310430083. The reversal of 310430064 is 460034013.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 310430064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21462 + ... + 32885.

Almost surely, 2310430064 is an apocalyptic number.

310430064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

310430064 is an abundant number, since it is smaller than the sum of its proper divisors (660007824).

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

310430064 is a wasteful number, since it uses less digits than its factorization.

310430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54382 (or 54376 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 310430064 is about 17619.0256257263. The cubic root of 310430064 is about 677.1027715517.

Adding to 310430064 its reverse (460034013), we get a palindrome (770464077).

The spelling of 310430064 in words is "three hundred ten million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 54347 108694 163041 217388 326082 380429 434776 652164 760858 869552 923899 1141287 1304328 1521716 1847798 2282574 2608656 2771697 3043432 3695596 4565148 5543394 6086864 6467293 7391192 9130296 11086788 12934586 14782384 18260592 19401879 22173576 25869172 38803758 44347152 51738344 77607516 103476688 155215032 310430064