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306400641 = 32316132753
BaseRepresentation
bin10010010000110…
…100110110000001
3210100112202122220
4102100310312001
51111414310031
650223121253
710410235221
oct2220646601
9710482586
10306400641
11147a56378
1286743229
134b62c271
142c99c081
151bd75596
hex12434d81

306400641 has 16 divisors (see below), whose sum is σ = 426715776. Its totient is φ = 195193856.

The previous prime is 306400613. The next prime is 306400643. The reversal of 306400641 is 146004603.

It is a cyclic number.

It is not a de Polignac number, because 306400641 - 25 = 306400609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (306400643) 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, 109921 + ... + 112673.

It is an arithmetic number, because the mean of its divisors is an integer number (26669736).

Almost surely, 2306400641 is an apocalyptic number.

It is an amenable number.

306400641 is a deficient number, since it is larger than the sum of its proper divisors (120315135).

306400641 is a wasteful number, since it uses less digits than its factorization.

306400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 306400641 is about 17504.3034994255. The cubic root of 306400641 is about 674.1603760629.

The spelling of 306400641 in words is "three hundred six million, four hundred thousand, six hundred forty-one".

Divisors: 1 3 23 69 1613 2753 4839 8259 37099 63319 111297 189957 4440589 13321767 102133547 306400641