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672310764 = 2232173135437
BaseRepresentation
bin101000000100101…
…010010111101100
31201212001220222200
4220010222113230
52334102421024
6150413541500
722442355456
oct5004522754
91655056880
10672310764
11315558034
121691a4890
13a9396128
146540b2d6
153e0532c9
hex2812a5ec

672310764 has 72 divisors (see below), whose sum is σ = 1857518208. Its totient is φ = 204111360.

The previous prime is 672310759. The next prime is 672310787. The reversal of 672310764 is 467013276.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1254 + ... + 36690.

It is an arithmetic number, because the mean of its divisors is an integer number (25798864).

Almost surely, 2672310764 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 672310764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928759104).

672310764 is an abundant number, since it is smaller than the sum of its proper divisors (1185207444).

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

672310764 is a wasteful number, since it uses less digits than its factorization.

672310764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35495 (or 35490 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 672310764 is about 25928.9560915977. The cubic root of 672310764 is about 876.0388267022.

The spelling of 672310764 in words is "six hundred seventy-two million, three hundred ten thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 35437 70874 106311 141748 212622 318933 425244 602429 637866 1098547 1204858 1275732 1807287 2197094 2409716 3295641 3614574 4394188 5421861 6591282 7229148 9886923 10843722 13182564 18675299 19773846 21687444 37350598 39547692 56025897 74701196 112051794 168077691 224103588 336155382 672310764