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313467140 = 22574197563
BaseRepresentation
bin10010101011110…
…010000100000100
3210211211210002002
4102223302010010
51120221422030
651034404432
710524266240
oct2253620404
9724753062
10313467140
11150a42558
1288b90718
134cc3481c
142d8bb420
151c7be245
hex12af2104

313467140 has 96 divisors (see below), whose sum is σ = 779998464. Its totient is φ = 103587840.

The previous prime is 313467137. The next prime is 313467151. The reversal of 313467140 is 41764313.

313467140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556499 + ... + 557061.

It is an arithmetic number, because the mean of its divisors is an integer number (8124984).

Almost surely, 2313467140 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 313467140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389999232).

313467140 is an abundant number, since it is smaller than the sum of its proper divisors (466531324).

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

313467140 is a wasteful number, since it uses less digits than its factorization.

313467140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 313467140 is about 17705.0032476699. The cubic root of 313467140 is about 679.3037423566.

The spelling of 313467140 in words is "three hundred thirteen million, four hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 97 140 164 194 205 287 388 410 485 563 574 679 820 970 1126 1148 1358 1435 1940 2252 2716 2815 2870 3395 3941 3977 5630 5740 6790 7882 7954 11260 13580 15764 15908 19705 19885 23083 27839 39410 39770 46166 54611 55678 78820 79540 92332 109222 111356 115415 139195 161581 218444 230830 273055 278390 323162 382277 461660 546110 556780 646324 764554 807905 1092220 1529108 1615810 1911385 2239051 3231620 3822770 4478102 7645540 8956204 11195255 15673357 22390510 31346714 44781020 62693428 78366785 156733570 313467140