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645004080 = 243357291471
BaseRepresentation
bin100110011100011…
…111101100110000
31122221200121021000
4212130133230300
52310110112310
6144000402000
721661305240
oct4634375460
91587617230
10645004080
113010a7126
12160016300
13a3825026
146193db20
153b95c4c0
hex2671fb30

645004080 has 320 divisors, whose sum is σ = 2628403200. Its totient is φ = 142248960.

The previous prime is 645004069. The next prime is 645004097. The reversal of 645004080 is 80400546.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437745 + ... + 439215.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2645004080 is an apocalyptic number.

645004080 is a gapful number since it is divisible by the number (60) 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 645004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314201600).

645004080 is an abundant number, since it is smaller than the sum of its proper divisors (1983399120).

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

645004080 is a wasteful number, since it uses less digits than its factorization.

645004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 645004080 is about 25396.9305231951. The cubic root of 645004080 is about 864.0140815606.

The spelling of 645004080 in words is "six hundred forty-five million, four thousand, eighty".