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672870336 = 26317238963
BaseRepresentation
bin101000000110110…
…010111111000000
31201220010100120120
4220012302333000
52334223322321
6150433540240
722450206045
oct5006627700
91656110516
10672870336
113158aa496
12169414680
13a9530a38
14655151cc
153e113ec6
hex281b2fc0

672870336 has 112 divisors (see below), whose sum is σ = 1967203584. Its totient is φ = 201895936.

The previous prime is 672870329. The next prime is 672870343. The reversal of 672870336 is 633078276.

It is an interprime number because it is at equal distance from previous prime (672870329) and next prime (672870343).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70591 + ... + 79553.

Almost surely, 2672870336 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 672870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983601792).

672870336 is an abundant number, since it is smaller than the sum of its proper divisors (1294333248).

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

672870336 is a wasteful number, since it uses less digits than its factorization.

672870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 672870336 is about 25939.7443318164. The cubic root of 672870336 is about 876.2818050419.

The spelling of 672870336 in words is "six hundred seventy-two million, eight hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2208 2346 3128 3264 4416 4692 6256 8963 9384 12512 17926 18768 25024 26889 35852 37536 53778 71704 75072 107556 143408 152371 206149 215112 286816 304742 412298 430224 457113 573632 609484 618447 824596 860448 914226 1218968 1236894 1649192 1720896 1828452 2437936 2473788 3298384 3504533 3656904 4875872 4947576 6596768 7009066 7313808 9751744 9895152 10513599 13193536 14018132 14627616 19790304 21027198 28036264 29255232 39580608 42054396 56072528 84108792 112145056 168217584 224290112 336435168 672870336