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316890640 = 24511418783
BaseRepresentation
bin10010111000110…
…101111000010000
3211002021201020101
4102320311320100
51122111000030
651240022144
710565345263
oct2270657020
9732251211
10316890640
111529706a0
128a161954
1350862b71
143012ccda
151cc487ca
hex12e35e10

316890640 has 80 divisors (see below), whose sum is σ = 823447296. Its totient is φ = 112409600.

The previous prime is 316890611. The next prime is 316890643. The reversal of 316890640 is 46098613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 316890640.

It is not an unprimeable number, because it can be changed into a prime (316890643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31689 + ... + 40471.

Almost surely, 2316890640 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 316890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411723648).

316890640 is an abundant number, since it is smaller than the sum of its proper divisors (506556656).

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

316890640 is a wasteful number, since it uses less digits than its factorization.

316890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 316890640 is about 17801.4224150768. The cubic root of 316890640 is about 681.7677763895.

The spelling of 316890640 in words is "three hundred sixteen million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 8783 9020 17566 18040 35132 36080 43915 70264 87830 96613 140528 175660 193226 351320 360103 386452 483065 702640 720206 772904 966130 1440412 1545808 1800515 1932260 2880824 3601030 3864520 3961133 5761648 7202060 7729040 7922266 14404120 15844532 19805665 28808240 31689064 39611330 63378128 79222660 158445320 316890640