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3253420080 = 243551011657
BaseRepresentation
bin1100000111101011…
…0100000000110000
322101201212212100000
43001322310000300
523130333420310
61254500030000
7143423420511
oct30172640060
98351785300
103253420080
11141a51a729
12769692300
133cb053851
1422c132a08
151409514c0
hexc1eb4030

3253420080 has 240 divisors, whose sum is σ = 11449829664. Its totient is φ = 858470400.

The previous prime is 3253420073. The next prime is 3253420091. The reversal of 3253420080 is 800243523.

3253420080 is a `hidden beast` number, since 32 + 534 + 20 + 0 + 80 = 666.

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 (27).

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, 1962612 + ... + 1964268.

Almost surely, 23253420080 is an apocalyptic number.

3253420080 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 3253420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724914832).

3253420080 is an abundant number, since it is smaller than the sum of its proper divisors (8196409584).

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

3253420080 is a wasteful number, since it uses less digits than its factorization.

3253420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3253420080 is about 57038.7594535505. The cubic root of 3253420080 is about 1481.7674404376.

The spelling of 3253420080 in words is "three billion, two hundred fifty-three million, four hundred twenty thousand, eighty".