Search a number
-
+
307245960 = 233457192331
BaseRepresentation
bin10010010100000…
…011001110001000
3210102010201020000
4102110003032020
51112123332320
650253203000
710420355550
oct2224031610
9712121200
10307245960
1114848348a
1286a90460
134b866c58
142cb3c160
151be90c90
hex12503388

307245960 has 640 divisors, whose sum is σ = 1338163200. Its totient is φ = 61585920.

The previous prime is 307245881. The next prime is 307245971. The reversal of 307245960 is 69542703.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9911145 + ... + 9911175.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 2307245960 is an apocalyptic number.

307245960 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 307245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669081600).

307245960 is an abundant number, since it is smaller than the sum of its proper divisors (1030917240).

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

307245960 is a wasteful number, since it uses less digits than its factorization.

307245960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 307245960 is about 17528.4329020024. The cubic root of 307245960 is about 674.7797800125.

The spelling of 307245960 in words is "three hundred seven million, two hundred forty-five thousand, nine hundred sixty".