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309805832 = 23741272
BaseRepresentation
bin10010011101110…
…100001100001000
3210120221202201002
4102131310030020
51113302241312
650424114132
710451210000
oct2235641410
9716852632
10309805832
11149971786
1287905948
134c25217b
142d207000
151c2e94c2
hex12774308

309805832 has 60 divisors (see below), whose sum is σ = 683037855. Its totient is φ = 131728464.

The previous prime is 309805831. The next prime is 309805843. The reversal of 309805832 is 238508903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 154902916 + 154902916 = 12446^2 + 12446^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12446.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (309805831) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2439353 + ... + 2439479.

Almost surely, 2309805832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309805832

309805832 is an abundant number, since it is smaller than the sum of its proper divisors (373232023).

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

309805832 is an frugal number, since it uses more digits than its factorization.

309805832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 309805832 is about 17601.3019972955. The cubic root of 309805832 is about 676.6486136021.

The spelling of 309805832 in words is "three hundred nine million, eight hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 343 392 508 686 889 1016 1372 1778 2401 2744 3556 4802 6223 7112 9604 12446 16129 19208 24892 32258 43561 49784 64516 87122 112903 129032 174244 225806 304927 348488 451612 609854 790321 903224 1219708 1580642 2439416 3161284 5532247 6322568 11064494 22128988 38725729 44257976 77451458 154902916 309805832