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316077480 = 233251018693
BaseRepresentation
bin10010110101101…
…111010110101000
3211000202101210100
4102311233112220
51121403434410
651210345400
710555420455
oct2265572650
9730671710
10316077480
11152465764
1289a2b260
13506399c4
142dd9a82c
151cb378c0
hex12d6f5a8

316077480 has 96 divisors (see below), whose sum is σ = 1037541960. Its totient is φ = 83443200.

The previous prime is 316077403. The next prime is 316077493. The reversal of 316077480 is 84770613.

316077480 is a `hidden beast` number, since 3 + 1 + 607 + 7 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256448196 + 59629284 = 16014^2 + 7722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32014 + ... + 40706.

Almost surely, 2316077480 is an apocalyptic number.

316077480 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 316077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518770980).

316077480 is an abundant number, since it is smaller than the sum of its proper divisors (721464480).

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

316077480 is a wasteful number, since it uses less digits than its factorization.

316077480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 316077480 is about 17778.5679963264. The cubic root of 316077480 is about 681.1841248201.

The spelling of 316077480 in words is "three hundred sixteen million, seventy-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 8693 9090 12120 17386 18180 26079 34772 36360 43465 52158 69544 78237 86930 104316 130395 156474 173860 208632 260790 312948 347720 391185 521580 625896 782370 877993 1043160 1564740 1755986 2633979 3129480 3511972 4389965 5267958 7023944 7901937 8779930 10535916 13169895 15803874 17559860 21071832 26339790 31607748 35119720 39509685 52679580 63215496 79019370 105359160 158038740 316077480