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316060416 = 2832719597
BaseRepresentation
bin10010110101101…
…011001100000000
3211000201112101100
4102311223030000
51121402413131
651210134400
710555316640
oct2265531400
9730645340
10316060416
11152453961
1289a21400
1350631cc9
142dd94520
151cb327e6
hex12d6b300

316060416 has 108 divisors (see below), whose sum is σ = 1041516112. Its totient is φ = 90298368.

The previous prime is 316060391. The next prime is 316060417. The reversal of 316060416 is 614060613.

It is a super-3 number, since 3×3160604163 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 316060416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316060417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6330 + ... + 25926.

Almost surely, 2316060416 is an apocalyptic number.

316060416 is a gapful number since it is divisible by the number (36) 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 316060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520758056).

316060416 is an abundant number, since it is smaller than the sum of its proper divisors (725455696).

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

316060416 is a wasteful number, since it uses less digits than its factorization.

316060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19626 (or 19609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 316060416 is about 17778.0880861807. The cubic root of 316060416 is about 681.1718662909.

The spelling of 316060416 in words is "three hundred sixteen million, sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 19597 39194 58791 78388 117582 137179 156776 176373 235164 274358 313552 352746 411537 470328 548716 627104 705492 823074 940656 1097432 1234611 1254208 1410984 1646148 1881312 2194864 2469222 2508416 2821968 3292296 3762624 4389728 4938444 5016832 5643936 6584592 7525248 8779456 9876888 11287872 13169184 15050496 17558912 19753776 22575744 26338368 35117824 39507552 45151488 52676736 79015104 105353472 158030208 316060416