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674714880 = 2833572789
BaseRepresentation
bin101000001101110…
…101010100000000
31202000121001211000
4220031311110000
52340211334010
6150541252000
722501660530
oct5015652400
91660531730
10674714880
1131694a304
12169b64000
13a9a28498
14658754c0
153e37a7c0
hex28375500

674714880 has 288 divisors, whose sum is σ = 2737324800. Its totient is φ = 154165248.

The previous prime is 674714863. The next prime is 674714897. The reversal of 674714880 is 88417476.

674714880 is a `hidden beast` number, since 67 + 471 + 48 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (674714863) and next prime (674714897).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240526 + ... + 243314.

It is an arithmetic number, because the mean of its divisors is an integer number (9504600).

Almost surely, 2674714880 is an apocalyptic number.

674714880 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 674714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368662400).

674714880 is an abundant number, since it is smaller than the sum of its proper divisors (2062609920).

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

674714880 is a wasteful number, since it uses less digits than its factorization.

674714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 674714880 is about 25975.2743970107. The cubic root of 674714880 is about 877.0817935602.

The spelling of 674714880 in words is "six hundred seventy-four million, seven hundred fourteen thousand, eight hundred eighty".