Search a number
-
+
314316198 = 232715715889
BaseRepresentation
bin10010101111000…
…001010110100110
3210220102220202200
4102233001112212
51120431104243
651104515330
710534433520
oct2257012646
9726386680
10314316198
11151472459
128931bb46
1350171121
142da5ca10
151c8daad3
hex12bc15a6

314316198 has 48 divisors (see below), whose sum is σ = 783313440. Its totient is φ = 89227008.

The previous prime is 314316157. The next prime is 314316217. The reversal of 314316198 is 891613413.

314316198 is a `hidden beast` number, since 3 + 1 + 4 + 31 + 619 + 8 = 666.

It is a Curzon number.

It is a congruent number.

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, 11838 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (16319030).

Almost surely, 2314316198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314316198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391656720).

314316198 is an abundant number, since it is smaller than the sum of its proper divisors (468997242).

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

314316198 is a wasteful number, since it uses less digits than its factorization.

314316198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16061 (or 16058 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 314316198 is about 17728.9649444067. The cubic root of 314316198 is about 679.9165107994.

The spelling of 314316198 in words is "three hundred fourteen million, three hundred sixteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 6594 9891 15889 19782 31778 47667 95334 111223 143001 222446 286002 333669 667338 1001007 2002014 2494573 4989146 7483719 14967438 17462011 22451157 34924022 44902314 52386033 104772066 157158099 314316198