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674295840 = 253754147
BaseRepresentation
bin101000001100001…
…111000000100000
31201222210210000000
4220030033000200
52340104431330
6150524300000
722465264041
oct5014170040
91658723000
10674295840
11316693499
121699a1600
13a990c82a
14657a68c8
153e2e6560
hex2830f020

674295840 has 384 divisors, whose sum is σ = 2499517440. Its totient is φ = 171694080.

The previous prime is 674295833. The next prime is 674295847. The reversal of 674295840 is 48592476.

It is a happy number.

674295840 is a `hidden beast` number, since 67 + 4 + 2 + 9 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (674295833) and next prime (674295847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (674295847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14346697 + ... + 14346743.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2674295840 is an apocalyptic number.

674295840 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 674295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249758720).

674295840 is an abundant number, since it is smaller than the sum of its proper divisors (1825221600).

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

674295840 is an equidigital number, since it uses as much as digits as its factorization.

674295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 674295840 is about 25967.2070119218. The cubic root of 674295840 is about 876.9001818016.

The spelling of 674295840 in words is "six hundred seventy-four million, two hundred ninety-five thousand, eight hundred forty".