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306439216 = 24315311657
BaseRepresentation
bin10010010000111…
…110010000110000
3210100121201120121
4102100332100300
51111422023331
650224020024
710410455536
oct2220762060
9710551517
10306439216
11147a82356
1286761614
134b6439a5
142c9ac156
151bd81c11
hex1243e430

306439216 has 40 divisors (see below), whose sum is σ = 624495744. Its totient is φ = 145466880.

The previous prime is 306439157. The next prime is 306439219. The reversal of 306439216 is 612934603.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (306439219) 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 7 ways as a sum of consecutive naturals, for example, 20460 + ... + 32116.

Almost surely, 2306439216 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 306439216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312247872).

306439216 is an abundant number, since it is smaller than the sum of its proper divisors (318056528).

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

306439216 is a wasteful number, since it uses less digits than its factorization.

306439216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11749 (or 11743 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 306439216 is about 17505.4053366382. The cubic root of 306439216 is about 674.1886665229.

The spelling of 306439216 in words is "three hundred six million, four hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 6572 11657 13144 23314 26288 46628 93256 186512 361367 617821 722734 1235642 1445468 2471284 2890936 4942568 5781872 9885136 19152451 38304902 76609804 153219608 306439216