Search a number
-
+
323094240 = 253257219241
BaseRepresentation
bin10011010000100…
…000011011100000
3211111221212222100
4103100200123200
51130203003430
652021010400
711002153500
oct2320403340
9744855870
10323094240
11156418537
1290253a00
1351c25731
1430ca5a00
151d571960
hex134206e0

323094240 has 432 divisors, whose sum is σ = 1355674320. Its totient is φ = 69672960.

The previous prime is 323094229. The next prime is 323094257. The reversal of 323094240 is 42490323.

It is a happy number.

323094240 is a `hidden beast` number, since 3 + 230 + 9 + 424 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340520 + ... + 1340760.

It is an arithmetic number, because the mean of its divisors is an integer number (3138135).

Almost surely, 2323094240 is an apocalyptic number.

323094240 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 323094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677837160).

323094240 is an abundant number, since it is smaller than the sum of its proper divisors (1032580080).

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

323094240 is a wasteful number, since it uses less digits than its factorization.

323094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 323094240 is about 17974.8223913339. The cubic root of 323094240 is about 686.1879257458.

The spelling of 323094240 in words is "three hundred twenty-three million, ninety-four thousand, two hundred forty".