Search a number
-
+
314932940 = 22572578753
BaseRepresentation
bin10010110001010…
…111111011001100
3210221121020202222
4102301113323030
51121110323230
651130034512
710542612560
oct2261277314
9727536688
10314932940
11151853863
1289578a38
1350328a6a
142db7d6a0
151c9ad6e5
hex12c57ecc

314932940 has 48 divisors (see below), whose sum is σ = 758866752. Its totient is φ = 107544576.

The previous prime is 314932927. The next prime is 314932957. The reversal of 314932940 is 49239413.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 314932940.

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, 31604 + ... + 40356.

It is an arithmetic number, because the mean of its divisors is an integer number (15809724).

Almost surely, 2314932940 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 314932940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379433376).

314932940 is an abundant number, since it is smaller than the sum of its proper divisors (443933812).

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

314932940 is a wasteful number, since it uses less digits than its factorization.

314932940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 314932940 is about 17746.3500472632. The cubic root of 314932940 is about 680.3609243149.

The spelling of 314932940 in words is "three hundred fourteen million, nine hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8753 8995 17506 17990 35012 35980 43765 61271 87530 122542 175060 245084 306355 612710 1225420 2249521 4499042 8998084 11247605 15746647 22495210 31493294 44990420 62986588 78733235 157466470 314932940