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309428064 = 25321197673
BaseRepresentation
bin10010011100010…
…111111101100000
3210120020120111200
4102130113331200
51113203144224
650412041200
710445044431
oct2234277540
9716216450
10309428064
11149733980
1287763200
134c14c23a
142d149488
151c2725c9
hex12717f60

309428064 has 72 divisors (see below), whose sum is σ = 959940072. Its totient is φ = 93765120.

The previous prime is 309428059. The next prime is 309428087. The reversal of 309428064 is 460824903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45669 + ... + 52004.

It is an arithmetic number, because the mean of its divisors is an integer number (13332501).

Almost surely, 2309428064 is an apocalyptic number.

It is an amenable number.

309428064 is an abundant number, since it is smaller than the sum of its proper divisors (650512008).

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

309428064 is a wasteful number, since it uses less digits than its factorization.

309428064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97700 (or 97689 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 309428064 is about 17590.5674723700. The cubic root of 309428064 is about 676.3734733536.

The spelling of 309428064 in words is "three hundred nine million, four hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 97673 195346 293019 390692 586038 781384 879057 1074403 1172076 1562768 1758114 2148806 2344152 3125536 3223209 3516228 4297612 4688304 6446418 7032456 8595224 9376608 9669627 12892836 14064912 17190448 19339254 25785672 28129824 34380896 38678508 51571344 77357016 103142688 154714032 309428064