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316799712 = 25322983457
BaseRepresentation
bin10010111000011…
…111101011100000
3211002010002111200
4102320133223200
51122100042322
651234041200
710564516215
oct2270375340
9732102450
10316799712
11152909349
128a119200
1350830668
1430107b0c
151cc2b8ac
hex12e1fae0

316799712 has 144 divisors (see below), whose sum is σ = 945257040. Its totient is φ = 100509696.

The previous prime is 316799699. The next prime is 316799737. The reversal of 316799712 is 217997613.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692988 + ... + 693444.

It is an arithmetic number, because the mean of its divisors is an integer number (6564285).

Almost surely, 2316799712 is an apocalyptic number.

316799712 is a gapful number since it is divisible by the number (32) 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 316799712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472628520).

316799712 is an abundant number, since it is smaller than the sum of its proper divisors (628457328).

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

316799712 is a wasteful number, since it uses less digits than its factorization.

316799712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 316799712 is about 17798.8682786294. The cubic root of 316799712 is about 681.7025617668.

The spelling of 316799712 in words is "three hundred sixteen million, seven hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 83 87 96 116 144 166 174 232 249 261 288 332 348 457 464 498 522 664 696 747 914 928 996 1044 1328 1371 1392 1494 1828 1992 2088 2407 2656 2742 2784 2988 3656 3984 4113 4176 4814 5484 5976 7221 7312 7968 8226 8352 9628 10968 11952 13253 14442 14624 16452 19256 21663 21936 23904 26506 28884 32904 37931 38512 39759 43326 43872 53012 57768 65808 75862 77024 79518 86652 106024 113793 115536 119277 131616 151724 159036 173304 212048 227586 231072 238554 303448 318072 341379 346608 424096 455172 477108 606896 636144 682758 693216 910344 954216 1099999 1213792 1272288 1365516 1820688 1908432 2199998 2731032 3299997 3641376 3816864 4399996 5462064 6599994 8799992 9899991 10924128 13199988 17599984 19799982 26399976 35199968 39599964 52799952 79199928 105599904 158399856 316799712