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745342560 = 25345172199
BaseRepresentation
bin101100011011010…
…000011001100000
31220221111022210000
4230123100121200
53011301430220
6201543140000
724320210244
oct5433203140
91827438700
10745342560
113527a9996
12189744600
13bb556901
1470dbc424
154567c390
hex2c6d0660

745342560 has 360 divisors, whose sum is σ = 2808313200. Its totient is φ = 186126336.

The previous prime is 745342399. The next prime is 745342561. The reversal of 745342560 is 65243547.

745342560 is a `hidden beast` number, since 7 + 4 + 53 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745342561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745341 + ... + 3745539.

It is an arithmetic number, because the mean of its divisors is an integer number (7800870).

Almost surely, 2745342560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404156600).

745342560 is an abundant number, since it is smaller than the sum of its proper divisors (2062970640).

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

745342560 is a wasteful number, since it uses less digits than its factorization.

745342560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 745342560 is about 27300.9626203912. The cubic root of 745342560 is about 906.6756943546.

The spelling of 745342560 in words is "seven hundred forty-five million, three hundred forty-two thousand, five hundred sixty".