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607993344 = 2933761103
BaseRepresentation
bin100100001111010…
…011111000000000
31120101001021002000
4210033103320000
52221121241334
6140155224000
721031600230
oct4417237000
91511037060
10607993344
11292218442
1214b748000
1398c66c9a
145aa67cc0
153859b299
hex243d3e00

607993344 has 320 divisors, whose sum is σ = 2110817280. Its totient is φ = 169205760.

The previous prime is 607993327. The next prime is 607993403. The reversal of 607993344 is 443399706.

607993344 is a `hidden beast` number, since 607 + 9 + 9 + 3 + 34 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 607993344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902797 + ... + 5902899.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2607993344 is an apocalyptic number.

607993344 is a gapful number since it is divisible by the number (64) 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 607993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055408640).

607993344 is an abundant number, since it is smaller than the sum of its proper divisors (1502823936).

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

607993344 is a wasteful number, since it uses less digits than its factorization.

607993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 607993344 is about 24657.5210432841. The cubic root of 607993344 is about 847.1616254316.

The spelling of 607993344 in words is "six hundred seven million, nine hundred ninety-three thousand, three hundred forty-four".