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2923506240 = 263529173607
BaseRepresentation
bin1010111001000001…
…0010101001000000
321112202002111121220
42232100102221000
521441404144430
61202032515040
7132306251544
oct25620225100
97482074556
102923506240
111270274566
126970aba80
133778b1065
141da3b3a24
151219d4110
hexae412a40

2923506240 has 224 divisors, whose sum is σ = 9673620480. Its totient is φ = 747134976.

The previous prime is 2923506217. The next prime is 2923506277. The reversal of 2923506240 is 426053292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4816017 + ... + 4816623.

Almost surely, 22923506240 is an apocalyptic number.

2923506240 is a gapful number since it is divisible by the number (20) 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 2923506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836810240).

2923506240 is an abundant number, since it is smaller than the sum of its proper divisors (6750114240).

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

2923506240 is a wasteful number, since it uses less digits than its factorization.

2923506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2923506240 is about 54069.4575523003. The cubic root of 2923506240 is about 1429.8857619795.

The spelling of 2923506240 in words is "two billion, nine hundred twenty-three million, five hundred six thousand, two hundred forty".