Search a number
-
+
314312980 = 22597162017
BaseRepresentation
bin10010101111000…
…000100100010100
3210220102202100111
4102233000210110
51120431003410
651104452404
710534421242
oct2257004424
9726382314
10314312980
1115146aaa3
128931a104
135016c817
142da5b792
151c8d9b8a
hex12bc0914

314312980 has 24 divisors (see below), whose sum is σ = 666866088. Its totient is φ = 124428288.

The previous prime is 314312969. The next prime is 314312981. The reversal of 314312980 is 89213413.

314312980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6380676 + 307932304 = 2526^2 + 17548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314312981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79069 + ... + 82948.

It is an arithmetic number, because the mean of its divisors is an integer number (27786087).

Almost surely, 2314312980 is an apocalyptic number.

It is an amenable number.

314312980 is an abundant number, since it is smaller than the sum of its proper divisors (352553108).

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

314312980 is a wasteful number, since it uses less digits than its factorization.

314312980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162123 (or 162121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 314312980 is about 17728.8741887352. The cubic root of 314312980 is about 679.9141904408.

The spelling of 314312980 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 162017 324034 648068 810085 1620170 3240340 15715649 31431298 62862596 78578245 157156490 314312980