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672067344 = 243132937139
BaseRepresentation
bin101000000011101…
…110111100010000
31201211121120002010
4220003232330100
52334022123334
6150404422520
722440323004
oct5003567420
91654546063
10672067344
11315401163
121690a7a40
13a930c3b0
1465386704
153e0060e9
hex280eef10

672067344 has 80 divisors (see below), whose sum is σ = 1934251200. Its totient is φ = 199653888.

The previous prime is 672067343. The next prime is 672067349. The reversal of 672067344 is 443760276.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (672067343) by changing a digit.

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, 474 + ... + 36665.

It is an arithmetic number, because the mean of its divisors is an integer number (24178140).

Almost surely, 2672067344 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 672067344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967125600).

672067344 is an abundant number, since it is smaller than the sum of its proper divisors (1262183856).

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

672067344 is a wasteful number, since it uses less digits than its factorization.

672067344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37192 (or 37186 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 672067344 is about 25924.2616866903. The cubic root of 672067344 is about 875.9330863591.

The spelling of 672067344 in words is "six hundred seventy-two million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 37139 74278 111417 148556 222834 297112 445668 482807 594224 891336 965614 1077031 1448421 1782672 1931228 2154062 2896842 3231093 3862456 4308124 5793684 6462186 7724912 8616248 11587368 12924372 14001403 17232496 23174736 25848744 28002806 42004209 51697488 56005612 84008418 112011224 168016836 224022448 336033672 672067344