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3392056080 = 2432571634129
BaseRepresentation
bin1100101000101110…
…1010101100010000
322202101202022011200
43022023222230100
523421331243310
61320331311200
7150026000220
oct31213525420
98671668150
103392056080
1114907aaa36
127a7bab500
134209a409a
14242700080
1514cbd89c0
hexca2eab10

3392056080 has 240 divisors, whose sum is σ = 13102078080. Its totient is φ = 770383872.

The previous prime is 3392056069. The next prime is 3392056091. The reversal of 3392056080 is 806502933.

3392056080 is a `hidden beast` number, since 3 + 3 + 92 + 0 + 560 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3392056069) and next prime (3392056091).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 819456 + ... + 823584.

It is an arithmetic number, because the mean of its divisors is an integer number (54591992).

Almost surely, 23392056080 is an apocalyptic number.

3392056080 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 3392056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551039040).

3392056080 is an abundant number, since it is smaller than the sum of its proper divisors (9710022000).

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

3392056080 is a wasteful number, since it uses less digits than its factorization.

3392056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3392056080 is about 58241.3605610309. The cubic root of 3392056080 is about 1502.5225820086.

It can be divided in two parts, 33920 and 56080, that added together give a square (90000 = 3002).

The spelling of 3392056080 in words is "three billion, three hundred ninety-two million, fifty-six thousand, eighty".