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2305308304 = 241319312607
BaseRepresentation
bin1000100101101000…
…0011011010010000
312221122211210111001
42021122003122100
514210124331204
61020430431344
7111061540315
oct21132033220
95848753431
102305308304
11a83317282
12544062554
132a97b3370
1417c250d0c
15d75be4a4
hex89683690

2305308304 has 120 divisors (see below), whose sum is σ = 5240497920. Its totient is φ = 973866240.

The previous prime is 2305308289. The next prime is 2305308319. The reversal of 2305308304 is 4038035032.

It is an interprime number because it is at equal distance from previous prime (2305308289) and next prime (2305308319).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3797569 + ... + 3798175.

It is an arithmetic number, because the mean of its divisors is an integer number (43670816).

Almost surely, 22305308304 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 2305308304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620248960).

2305308304 is an abundant number, since it is smaller than the sum of its proper divisors (2935189616).

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

2305308304 is a wasteful number, since it uses less digits than its factorization.

2305308304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2305308304 is about 48013.6262325603. The cubic root of 2305308304 is about 1321.0208478917.

The spelling of 2305308304 in words is "two billion, three hundred five million, three hundred eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 607 806 961 988 1178 1214 1612 1922 1976 2356 2428 3224 3844 3952 4712 4856 6448 7657 7688 7891 9424 9712 11533 12493 15314 15376 15782 18259 18817 23066 24986 30628 31564 36518 37634 46132 49972 61256 63128 73036 75268 92264 99944 122512 126256 146072 149929 150536 184528 199888 237367 244621 292144 299858 301072 357523 474734 489242 583327 599716 715046 949468 978484 1166654 1199432 1430092 1898936 1956968 2333308 2398864 2860184 3797872 3913936 4647799 4666616 5720368 7583251 9295598 9333232 11083213 15166502 18591196 22166426 30333004 37182392 44332852 60666008 74364784 88665704 121332016 144081769 177331408 288163538 576327076 1152654152 2305308304