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316541640 = 233523114689
BaseRepresentation
bin10010110111100…
…000101011001000
3211001121222111110
4102313200223020
51122013313030
651224330320
710562362632
oct2267405310
9731558443
10316541640
11152752468
128a0139a0
135077005c
143007ba52
151cbca1b0
hex12de0ac8

316541640 has 64 divisors (see below), whose sum is σ = 990921600. Its totient is φ = 80740352.

The previous prime is 316541611. The next prime is 316541647. The reversal of 316541640 is 46145613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 316541598 and 316541607.

It is not an unprimeable number, because it can be changed into a prime (316541647) 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, 54585 + ... + 60104.

It is an arithmetic number, because the mean of its divisors is an integer number (15483150).

Almost surely, 2316541640 is an apocalyptic number.

316541640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316541640 is an abundant number, since it is smaller than the sum of its proper divisors (674379960).

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

316541640 is a wasteful number, since it uses less digits than its factorization.

316541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114726 (or 114722 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 316541640 is about 17791.6171271754. The cubic root of 316541640 is about 681.5174015219.

The spelling of 316541640 in words is "three hundred sixteen million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 114689 229378 344067 458756 573445 688134 917512 1146890 1376268 1720335 2293780 2637847 2752536 3440670 4587560 5275694 6881340 7913541 10551388 13189235 13762680 15827082 21102776 26378470 31654164 39567705 52756940 63308328 79135410 105513880 158270820 316541640