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672314670 = 232531733301
BaseRepresentation
bin101000000100101…
…011010100101110
31201212002010100100
4220010223110232
52334103032140
6150414011530
722442403036
oct5004532456
91655063310
10672314670
1131555aa65
121691a6ba6
13a9397b41
146540c8c6
153e054530
hex2812b52e

672314670 has 96 divisors (see below), whose sum is σ = 1829677824. Its totient is φ = 171072000.

The previous prime is 672314653. The next prime is 672314689. The reversal of 672314670 is 76413276.

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 47 ways as a sum of consecutive naturals, for example, 202020 + ... + 205320.

It is an arithmetic number, because the mean of its divisors is an integer number (19059144).

Almost surely, 2672314670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672314670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914838912).

672314670 is an abundant number, since it is smaller than the sum of its proper divisors (1157363154).

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

672314670 is a wasteful number, since it uses less digits than its factorization.

672314670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3415 counting only the distinct ones).

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

The square root of 672314670 is about 25929.0314126849. The cubic root of 672314670 is about 876.0405232395.

The spelling of 672314670 in words is "six hundred seventy-two million, three hundred fourteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 73 90 93 146 155 186 219 279 310 365 438 465 558 657 730 930 1095 1314 1395 2190 2263 2790 3285 3301 4526 6570 6602 6789 9903 11315 13578 16505 19806 20367 22630 29709 33010 33945 40734 49515 59418 67890 99030 101835 102331 148545 203670 204662 240973 297090 306993 481946 511655 613986 722919 920979 1023310 1204865 1445838 1534965 1841958 2168757 2409730 3069930 3614595 4337514 4604895 7229190 7470163 9209790 10843785 14940326 21687570 22410489 37350815 44820978 67231467 74701630 112052445 134462934 224104890 336157335 672314670