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676374400 = 27521371229
BaseRepresentation
bin101000010100001…
…010011110000000
31202010201101020201
4220110022132000
52341122440100
6151041014544
722522042012
oct5024123600
91663641221
10676374400
11317883109
1216a624454
13aa189950
1465b881b2
153e5a736a
hex2850a780

676374400 has 192 divisors, whose sum is σ = 1832695200. Its totient is φ = 245145600.

The previous prime is 676374397. The next prime is 676374401. The reversal of 676374400 is 4473676.

It is a self number, because there is not a number n which added to its sum of digits gives 676374400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676374401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2953486 + ... + 2953714.

Almost surely, 2676374400 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 676374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916347600).

676374400 is an abundant number, since it is smaller than the sum of its proper divisors (1156320800).

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

676374400 is a wasteful number, since it uses less digits than its factorization.

676374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 676374400 is about 26007.1990033529. The cubic root of 676374400 is about 877.8002911612.

The spelling of 676374400 in words is "six hundred seventy-six million, three hundred seventy-four thousand, four hundred".