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3120374880 = 253357214741
BaseRepresentation
bin1011100111111101…
…0010010001100000
322001110112110122000
42321333102101200
522342303444010
61233344244000
7140216514600
oct27177222140
98043473560
103120374880
111361408917
12731010600
133a960cc8c
142185bcc00
15133e207c0
hexb9fd2460

3120374880 has 288 divisors, whose sum is σ = 12705245280. Its totient is φ = 713180160.

The previous prime is 3120374869. The next prime is 3120374891. The reversal of 3120374880 is 884730213.

3120374880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3120374869) and next prime (3120374891).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 204310 + ... + 219050.

It is an arithmetic number, because the mean of its divisors is an integer number (44115435).

Almost surely, 23120374880 is an apocalyptic number.

3120374880 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 3120374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352622640).

3120374880 is an abundant number, since it is smaller than the sum of its proper divisors (9584870400).

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

3120374880 is a wasteful number, since it uses less digits than its factorization.

3120374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3120374880 is about 55860.3157885811. The cubic root of 3120374880 is about 1461.2872365522.

The spelling of 3120374880 in words is "three billion, one hundred twenty million, three hundred seventy-four thousand, eight hundred eighty".