Search a number
-
+
313013040 = 24351304221
BaseRepresentation
bin10010101010000…
…011001100110000
3210210222201011120
4102222003030300
51120112404130
651020542240
710520365314
oct2252031460
9723881146
10313013040
1115076236a
12889b1980
134cb05c22
142d7ddb44
151c72e910
hex12a83330

313013040 has 40 divisors (see below), whose sum is σ = 970341168. Its totient is φ = 83470080.

The previous prime is 313013023. The next prime is 313013053. The reversal of 313013040 is 40310313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 651871 + ... + 652350.

Almost surely, 2313013040 is an apocalyptic number.

313013040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313013040 is an abundant number, since it is smaller than the sum of its proper divisors (657328128).

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

313013040 is a wasteful number, since it uses less digits than its factorization.

313013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304237 (or 1304231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313013040 is about 17692.1745413050. The cubic root of 313013040 is about 678.9755623929.

Adding to 313013040 its reverse (40310313), we get a palindrome (353323353).

The spelling of 313013040 in words is "three hundred thirteen million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1304221 2608442 3912663 5216884 6521105 7825326 10433768 13042210 15650652 19563315 20867536 26084420 31301304 39126630 52168840 62602608 78253260 104337680 156506520 313013040