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307668672 = 2633199371
BaseRepresentation
bin10010010101101…
…010011011000000
3210102221012002000
4102111222123000
51112230344142
650310224000
710424066133
oct2225523300
9712835060
10307668672
11148742033
1287055000
134b98448c
142cc0c21a
151c02614c
hex1256a6c0

307668672 has 112 divisors (see below), whose sum is σ = 952195200. Its totient is φ = 97148160.

The previous prime is 307668667. The next prime is 307668701. The reversal of 307668672 is 276866703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28147 + ... + 37517.

Almost surely, 2307668672 is an apocalyptic number.

307668672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476097600).

307668672 is an abundant number, since it is smaller than the sum of its proper divisors (644526528).

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

307668672 is a wasteful number, since it uses less digits than its factorization.

307668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 307668672 is about 17540.4866523138. The cubic root of 307668672 is about 675.0890944126.

The spelling of 307668672 in words is "three hundred seven million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 9371 10944 16416 18742 28113 32832 37484 56226 74968 84339 112452 149936 168678 178049 224904 253017 299872 337356 356098 449808 506034 534147 599744 674712 712196 899616 1012068 1068294 1349424 1424392 1602441 1799232 2024136 2136588 2698848 2848784 3204882 4048272 4273176 4807323 5397696 5697568 6409764 8096544 8546352 9614646 11395136 12819528 16193088 17092704 19229292 25639056 34185408 38458584 51278112 76917168 102556224 153834336 307668672