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316409984 = 27111713219
BaseRepresentation
bin10010110111000…
…000100010000000
3211001101021220022
4102313000202000
51122000104414
651221433012
710561304042
oct2267004200
9731337808
10316409984
11152672560
1289b6b768
1350725157
1430045a92
151cba118e
hex12dc0880

316409984 has 64 divisors (see below), whose sum is σ = 728157600. Its totient is φ = 135352320.

The previous prime is 316409971. The next prime is 316409999. The reversal of 316409984 is 489904613.

316409984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17327 + ... + 30545.

Almost surely, 2316409984 is an apocalyptic number.

316409984 is a gapful number since it is divisible by the number (34) 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 316409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364078800).

316409984 is an abundant number, since it is smaller than the sum of its proper divisors (411747616).

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

316409984 is a wasteful number, since it uses less digits than its factorization.

316409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13249 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 316409984 is about 17787.9167976467. The cubic root of 316409984 is about 681.4229028460.

The spelling of 316409984 in words is "three hundred sixteen million, four hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 13219 23936 26438 52876 105752 145409 211504 224723 290818 423008 449446 581636 846016 898892 1163272 1692032 1797784 2326544 2471953 3595568 4653088 4943906 7191136 9306176 9887812 14382272 18612352 19775624 28764544 39551248 79102496 158204992 316409984