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316270040 = 235172109251
BaseRepresentation
bin10010110110011…
…110010111011000
3211001010011221012
4102312132113120
51121431120130
651214433052
710560152042
oct2266362730
9731104835
10316270040
111525873a9
1289b02788
13506a6548
143000aa92
151cb74995
hex12d9e5d8

316270040 has 96 divisors (see below), whose sum is σ = 765903600. Its totient is φ = 117504000.

The previous prime is 316270021. The next prime is 316270051. The reversal of 316270040 is 40072613.

It is a junction number, because it is equal to n+sod(n) for n = 316269988 and 316270015.

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, 1259915 + ... + 1260165.

Almost surely, 2316270040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382951800).

316270040 is an abundant number, since it is smaller than the sum of its proper divisors (449633560).

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

316270040 is a wasteful number, since it uses less digits than its factorization.

316270040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 316270040 is about 17783.9826810532. The cubic root of 316270040 is about 681.3224265505.

The spelling of 316270040 in words is "three hundred sixteen million, two hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 251 289 340 436 502 545 578 680 872 1004 1090 1156 1255 1445 1853 2008 2180 2312 2510 2890 3706 4267 4360 5020 5780 7412 8534 9265 10040 11560 14824 17068 18530 21335 27359 31501 34136 37060 42670 54718 63002 72539 74120 85340 109436 126004 136795 145078 157505 170680 218872 252008 273590 290156 315010 362695 465103 547180 580312 630020 725390 930206 1094360 1260040 1450780 1860412 2325515 2901560 3720824 4651030 7906751 9302060 15813502 18604120 31627004 39533755 63254008 79067510 158135020 316270040