Search a number
-
+
313540500 = 223537132297
BaseRepresentation
bin10010101100000…
…011111110010100
3210211222111201010
4102230003332110
51120231244000
651040132220
710525023150
oct2254037624
9724874633
10313540500
11150a92689
1289007070
134cc5c030
142d8da060
151c7d5d50
hex12b03f94

313540500 has 192 divisors, whose sum is σ = 1124218368. Its totient is φ = 66124800.

The previous prime is 313540499. The next prime is 313540519. The reversal of 313540500 is 5045313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135352 + ... + 137648.

It is an arithmetic number, because the mean of its divisors is an integer number (5855304).

Almost surely, 2313540500 is an apocalyptic number.

313540500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562109184).

313540500 is an abundant number, since it is smaller than the sum of its proper divisors (810677868).

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

313540500 is a wasteful number, since it uses less digits than its factorization.

313540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 313540500 is about 17707.0748572428. The cubic root of 313540500 is about 679.3567301919.

Adding to 313540500 its reverse (5045313), we get a palindrome (318585813).

The spelling of 313540500 in words is "three hundred thirteen million, five hundred forty thousand, five hundred".