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316416040 = 23533723473
BaseRepresentation
bin10010110111000…
…010000000101000
3211001101121012121
4102313002000220
51122000303130
651221521024
710561330513
oct2267020050
9731347177
10316416040
11152677066
1289b73174
1350727b35
1430047d7a
151cba2d7a
hex12dc2028

316416040 has 32 divisors (see below), whose sum is σ = 714079080. Its totient is φ = 126185472.

The previous prime is 316416031. The next prime is 316416041. The reversal of 316416040 is 40614613.

It can be written as a sum of positive squares in 4 ways, for example, as 298114756 + 18301284 = 17266^2 + 4278^2 .

It is a super-2 number, since 2×3164160402 = 200238220738563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 316415996 and 316416014.

It is not an unprimeable number, because it can be changed into a prime (316416041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 25216.

Almost surely, 2316416040 is an apocalyptic number.

It is an amenable number.

316416040 is an abundant number, since it is smaller than the sum of its proper divisors (397663040).

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

316416040 is a wasteful number, since it uses less digits than its factorization.

316416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23821 (or 23817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 316416040 is about 17788.0870247478. The cubic root of 316416040 is about 681.4272502339.

The spelling of 316416040 in words is "three hundred sixteen million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 23473 46946 93892 117365 187784 234730 469460 938920 7910401 15820802 31641604 39552005 63283208 79104010 158208020 316416040