Base | Representation |
---|---|
bin | 10010110111000… |
… | …000100010000000 |
3 | 211001101021220022 |
4 | 102313000202000 |
5 | 1122000104414 |
6 | 51221433012 |
7 | 10561304042 |
oct | 2267004200 |
9 | 731337808 |
10 | 316409984 |
11 | 152672560 |
12 | 89b6b768 |
13 | 50725157 |
14 | 30045a92 |
15 | 1cba118e |
hex | 12dc0880 |
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".
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