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316074240 = 2832527437
BaseRepresentation
bin10010110101101…
…110100100000000
3211000202020100100
4102311232210000
51121403333430
651210322400
710555405146
oct2265564400
9730666310
10316074240
11152463289
1289a29400
13506383a1
142dd99596
151cb36960
hex12d6e900

316074240 has 108 divisors (see below), whose sum is σ = 1093623804. Its totient is φ = 84283392.

The previous prime is 316074229. The next prime is 316074247. The reversal of 316074240 is 42470613.

316074240 is a `hidden beast` number, since 31 + 607 + 4 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140564736 + 175509504 = 11856^2 + 13248^2 .

It is not an unprimeable number, because it can be changed into a prime (316074247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2199 + ... + 25238.

Almost surely, 2316074240 is an apocalyptic number.

316074240 is a gapful number since it is divisible by the number (30) 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 316074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546811902).

316074240 is an abundant number, since it is smaller than the sum of its proper divisors (777549564).

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

316074240 is a wasteful number, since it uses less digits than its factorization.

316074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27464 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 316074240 is about 17778.4768751432. The cubic root of 316074240 is about 681.1817972852.

The spelling of 316074240 in words is "three hundred sixteen million, seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 27437 54874 82311 109748 137185 164622 219496 246933 274370 329244 411555 438992 493866 548740 658488 823110 877984 987732 1097480 1234665 1316976 1646220 1755968 1975464 2194960 2469330 2633952 3292440 3511936 3950928 4389920 4938660 5267904 6584880 7023872 7901856 8779840 9877320 10535808 13169760 15803712 17559680 19754640 21071616 26339520 31607424 35119360 39509280 52679040 63214848 79018560 105358080 158037120 316074240