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305677372 = 227111376343
BaseRepresentation
bin10010001110000…
…100010000111100
3210022012000112011
4102032010100330
51111223133442
650155421004
710401133450
oct2216042074
9708160464
10305677372
11147601a30
1286454764
134b437cb0
142c850660
151bc81117
hex1238443c

305677372 has 48 divisors (see below), whose sum is σ = 718244352. Its totient is φ = 109932480.

The previous prime is 305677349. The next prime is 305677373. The reversal of 305677372 is 273776503.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305677373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34168 + ... + 42175.

It is an arithmetic number, because the mean of its divisors is an integer number (14963424).

Almost surely, 2305677372 is an apocalyptic number.

It is an amenable number.

305677372 is an abundant number, since it is smaller than the sum of its proper divisors (412566980).

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

305677372 is a wasteful number, since it uses less digits than its factorization.

305677372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76378 (or 76376 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 40.

The square root of 305677372 is about 17483.6315449623. The cubic root of 305677372 is about 673.6294987251.

The spelling of 305677372 in words is "three hundred five million, six hundred seventy-seven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 76343 152686 305372 534401 839773 992459 1068802 1679546 1984918 2137604 3359092 3969836 5878411 6947213 10917049 11756822 13894426 21834098 23513644 27788852 43668196 76419343 152838686 305677372