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319124540 = 225723231139
BaseRepresentation
bin10011000001010…
…111010000111100
3211020111012120102
4103001113100330
51123143441130
651355540232
710623341150
oct2301272074
9736435512
10319124540
11154156a99
128aa5a678
13511658b7
1430551060
151d03a645
hex1305743c

319124540 has 144 divisors (see below), whose sum is σ = 832419840. Its totient is φ = 100552320.

The previous prime is 319124521. The next prime is 319124573. The reversal of 319124540 is 45421913.

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, 2295791 + ... + 2295929.

Almost surely, 2319124540 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 319124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416209920).

319124540 is an abundant number, since it is smaller than the sum of its proper divisors (513295300).

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

319124540 is a wasteful number, since it uses less digits than its factorization.

319124540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 319124540 is about 17864.0572099397. The cubic root of 319124540 is about 683.3660525017.

The spelling of 319124540 in words is "three hundred nineteen million, one hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 139 140 155 161 217 230 278 310 322 434 460 529 556 620 644 695 713 805 868 973 1058 1085 1390 1426 1610 1946 2116 2170 2645 2780 2852 3197 3220 3565 3703 3892 4309 4340 4865 4991 5290 6394 7130 7406 8618 9730 9982 10580 12788 14260 14812 15985 16399 17236 18515 19460 19964 21545 22379 24955 30163 31970 32798 37030 43090 44758 49910 60326 63940 65596 73531 74060 81995 86180 89516 99107 99820 111895 114793 120652 147062 150815 163990 198214 223790 229586 294124 301630 327980 367655 396428 447580 459172 495535 514717 573965 603260 693749 735310 991070 1029434 1147930 1387498 1470620 1982140 2058868 2279461 2295860 2573585 2774996 3468745 4558922 5147170 6937490 9117844 10294340 11397305 13874980 15956227 22794610 31912454 45589220 63824908 79781135 159562270 319124540