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316809144 = 23341728759
BaseRepresentation
bin10010111000100…
…001111110111000
3211002010120110000
4102320201332320
51122100343034
651234153000
710564555551
oct2270417670
9732116400
10316809144
11152915443
128a122760
1350834a42
143010b328
151cc2e599
hex12e21fb8

316809144 has 80 divisors (see below), whose sum is σ = 939589200. Its totient is φ = 99387648.

The previous prime is 316809109. The next prime is 316809167. The reversal of 316809144 is 441908613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316809099 and 316809108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3364 + ... + 25395.

It is an arithmetic number, because the mean of its divisors is an integer number (11744865).

Almost surely, 2316809144 is an apocalyptic number.

316809144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316809144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469794600).

316809144 is an abundant number, since it is smaller than the sum of its proper divisors (622780056).

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

316809144 is a wasteful number, since it uses less digits than its factorization.

316809144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 28781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 316809144 is about 17799.1332373237. The cubic root of 316809144 is about 681.7093270873.

The spelling of 316809144 in words is "three hundred sixteen million, eight hundred nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 28759 57518 86277 115036 172554 230072 258831 345108 488903 517662 690216 776493 977806 1035324 1466709 1552986 1955612 2070648 2329479 2933418 3105972 3911224 4400127 4658958 5866836 6211944 8800254 9317916 11733672 13200381 17600508 18635832 26400762 35201016 39601143 52801524 79202286 105603048 158404572 316809144