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316983040 = 2851147479
BaseRepresentation
bin10010111001001…
…100011100000000
3211002110101222121
4102321030130000
51122121424130
651242014024
710566211543
oct2271143400
9732411877
10316983040
11152a24060
128a1a7314
1350895c3a
143015485a
151cc65d7a
hex12e4c700

316983040 has 144 divisors (see below), whose sum is σ = 847687680. Its totient is φ = 112578560.

The previous prime is 316983001. The next prime is 316983049. The reversal of 316983040 is 40389613.

It is a junction number, because it is equal to n+sod(n) for n = 316982987 and 316983005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316983049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 661521 + ... + 661999.

It is an arithmetic number, because the mean of its divisors is an integer number (5886720).

Almost surely, 2316983040 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 316983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

316983040 is an abundant number, since it is smaller than the sum of its proper divisors (530704640).

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

316983040 is a wasteful number, since it uses less digits than its factorization.

316983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 316983040 is about 17804.0175241433. The cubic root of 316983040 is about 681.8340339695.

The spelling of 316983040 in words is "three hundred sixteen million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 235 256 320 352 376 440 470 479 517 640 704 752 880 940 958 1034 1280 1408 1504 1760 1880 1916 2068 2395 2585 2816 3008 3520 3760 3832 4136 4790 5170 5269 6016 7040 7520 7664 8272 9580 10340 10538 12032 14080 15040 15328 16544 19160 20680 21076 22513 26345 30080 30656 33088 38320 41360 42152 45026 52690 60160 61312 66176 76640 82720 84304 90052 105380 112565 122624 132352 153280 165440 168608 180104 210760 225130 247643 306560 330880 337216 360208 421520 450260 495286 613120 661760 674432 720416 843040 900520 990572 1238215 1348864 1440832 1686080 1801040 1981144 2476430 2881664 3372160 3602080 3962288 4952860 5763328 6744320 7204160 7924576 9905720 14408320 15849152 19811440 28816640 31698304 39622880 63396608 79245760 158491520 316983040