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316534416 = 243114871231
BaseRepresentation
bin10010110111011…
…110111010010000
3211001121121120220
4102313132322100
51122013100131
651224233040
710562332602
oct2267367220
9731547526
10316534416
11152747aa0
128a00b780
1350769993
1430079172
151cbc7e96
hex12ddee90

316534416 has 80 divisors (see below), whose sum is σ = 894609408. Its totient is φ = 95644800.

The previous prime is 316534369. The next prime is 316534423. The reversal of 316534416 is 614435613.

It is a super-2 number, since 2×3165344162 = 200388073024922112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256521 + ... + 257751.

Almost surely, 2316534416 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 316534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447304704).

316534416 is an abundant number, since it is smaller than the sum of its proper divisors (578074992).

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

316534416 is a wasteful number, since it uses less digits than its factorization.

316534416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 316534416 is about 17791.4141090583. The cubic root of 316534416 is about 681.5122170337.

The spelling of 316534416 in words is "three hundred sixteen million, five hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 487 528 974 1231 1461 1948 2462 2922 3693 3896 4924 5357 5844 7386 7792 9848 10714 11688 13541 14772 16071 19696 21428 23376 27082 29544 32142 40623 42856 54164 59088 64284 81246 85712 108328 128568 162492 216656 257136 324984 599497 649968 1198994 1798491 2397988 3596982 4795976 6594467 7193964 9591952 13188934 14387928 19783401 26377868 28775856 39566802 52755736 79133604 105511472 158267208 316534416