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324964080 = 243257261151
BaseRepresentation
bin10011010111101…
…000111011110000
3211122110212220200
4103113220323300
51131142322310
652125035200
711024102100
oct2327507360
9748425820
10324964080
11157485361
12909b5b00
135242b84c
1431231200
151d7e09c0
hex135e8ef0

324964080 has 360 divisors, whose sum is σ = 1298872224. Its totient is φ = 72576000.

The previous prime is 324963949. The next prime is 324964091. The reversal of 324964080 is 80469423.

It is a happy number.

324964080 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2152005 + ... + 2152155.

Almost surely, 2324964080 is an apocalyptic number.

324964080 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 324964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649436112).

324964080 is an abundant number, since it is smaller than the sum of its proper divisors (973908144).

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

324964080 is a wasteful number, since it uses less digits than its factorization.

324964080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 324964080 is about 18026.7601082391. The cubic root of 324964080 is about 687.5091031302.

The spelling of 324964080 in words is "three hundred twenty-four million, nine hundred sixty-four thousand, eighty".