Search a number
-
+
307102464 = 2832413251
BaseRepresentation
bin10010010011100…
…000001100000000
3210101212102101100
4102103200030000
51112104234324
650250134400
710416220314
oct2223401400
9711772340
10307102464
11148395699
1286a21400
134b816846
142cb01b44
151be634c9
hex124e0300

307102464 has 108 divisors (see below), whose sum is σ = 907327512. Its totient is φ = 99840000.

The previous prime is 307102447. The next prime is 307102483. The reversal of 307102464 is 464201703.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92839 + ... + 96089.

Almost surely, 2307102464 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 307102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453663756).

307102464 is an abundant number, since it is smaller than the sum of its proper divisors (600225048).

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

307102464 is a wasteful number, since it uses less digits than its factorization.

307102464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 307102464 is about 17524.3391886827. The cubic root of 307102464 is about 674.6747140501.

The spelling of 307102464 in words is "three hundred seven million, one hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3251 3936 5248 5904 6502 7872 9753 10496 11808 13004 15744 19506 23616 26008 29259 31488 39012 47232 52016 58518 78024 94464 104032 117036 133291 156048 208064 234072 266582 312096 399873 416128 468144 533164 624192 799746 832256 936288 1066328 1199619 1248384 1599492 1872576 2132656 2399238 2496768 3198984 3745152 4265312 4798476 6397968 7490304 8530624 9596952 12795936 17061248 19193904 25591872 34122496 38387808 51183744 76775616 102367488 153551232 307102464