Search a number
-
+
323049960 = 233253779307
BaseRepresentation
bin10011010000010…
…101100111101000
3211111212122020100
4103100111213220
51130200044320
652020025400
711001610422
oct2320254750
9744778210
10323049960
11156398242
1290232260
1351c0b52c
1430c93812
151d563790
hex134159e8

323049960 has 192 divisors, whose sum is σ = 1095494400. Its totient is φ = 82487808.

The previous prime is 323049953. The next prime is 323049983. The reversal of 323049960 is 69940323.

It is a happy number.

It is a super-2 number, since 2×3230499602 = 208722553312003200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052127 + ... + 1052433.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 2323049960 is an apocalyptic number.

323049960 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 323049960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547747200).

323049960 is an abundant number, since it is smaller than the sum of its proper divisors (772444440).

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

323049960 is a wasteful number, since it uses less digits than its factorization.

323049960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 323049960 is about 17973.5906262494. The cubic root of 323049960 is about 686.1565770084.

The spelling of 323049960 in words is "three hundred twenty-three million, forty-nine thousand, nine hundred sixty".