Search a number
-
+
313005780 = 223251738921
BaseRepresentation
bin10010101010000…
…001011011010100
3210210222100012200
4102222001123110
51120112141110
651020444500
710520335203
oct2252013324
9723870180
10313005780
1115075796a
12889a9730
134cb02829
142d7db23a
151c72c6c0
hex12a816d4

313005780 has 36 divisors (see below), whose sum is σ = 949451412. Its totient is φ = 83468160.

The previous prime is 313005779. The next prime is 313005793. The reversal of 313005780 is 87500313.

It can be written as a sum of positive squares in 2 ways, for example, as 163481796 + 149523984 = 12786^2 + 12228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869281 + ... + 869640.

Almost surely, 2313005780 is an apocalyptic number.

313005780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313005780 is an abundant number, since it is smaller than the sum of its proper divisors (636445632).

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

313005780 is a wasteful number, since it uses less digits than its factorization.

313005780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738936 (or 1738931 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 313005780 is about 17691.9693646581. The cubic root of 313005780 is about 678.9703129836.

The spelling of 313005780 in words is "three hundred thirteen million, five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1738921 3477842 5216763 6955684 8694605 10433526 15650289 17389210 20867052 26083815 31300578 34778420 52167630 62601156 78251445 104335260 156502890 313005780