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304304058 = 23237253233
BaseRepresentation
bin10010001000110…
…100111110111010
3210012121020200200
4102020310332322
51110400212213
650110143030
710353353562
oct2210647672
9705536620
10304304058
11146854163
1285ab1a76
134b076b96
142c5b3da2
151baae273
hex12234fba

304304058 has 72 divisors (see below), whose sum is σ = 693375228. Its totient is φ = 96415488.

The previous prime is 304304023. The next prime is 304304069. The reversal of 304304058 is 850403403.

It is a happy number.

304304058 is a `hidden beast` number, since 304 + 304 + 0 + 58 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 263510289 + 40793769 = 16233^2 + 6387^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1305910 + ... + 1306142.

Almost surely, 2304304058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304304058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346687614).

304304058 is an abundant number, since it is smaller than the sum of its proper divisors (389071170).

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

304304058 is a wasteful number, since it uses less digits than its factorization.

304304058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 304304058 is about 17444.3130561223. The cubic root of 304304058 is about 672.6191811180.

The spelling of 304304058 in words is "three hundred four million, three hundred four thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 233 318 333 466 477 666 699 954 1369 1398 1961 2097 2738 3922 4107 4194 5883 8214 8621 11766 12321 12349 17242 17649 24642 24698 25863 35298 37047 51726 72557 74094 77589 111141 145114 155178 217671 222282 318977 435342 456913 637954 653013 913826 956931 1306026 1370739 1913862 2741478 2870793 4112217 5741586 8224434 16905781 33811562 50717343 101434686 152152029 304304058