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674135280 = 2432571310289
BaseRepresentation
bin101000001011100…
…111110011110000
31201222111121202100
4220023213303300
52340034312110
6150521020400
722464024660
oct5013476360
91658447670
10674135280
113165938a5
12169924700
13a9884720
14657641a0
153e2b3bc0
hex282e7cf0

674135280 has 240 divisors, whose sum is σ = 2786696640. Its totient is φ = 142221312.

The previous prime is 674135261. The next prime is 674135303. The reversal of 674135280 is 82531476.

674135280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60376 + ... + 70664.

It is an arithmetic number, because the mean of its divisors is an integer number (11611236).

Almost surely, 2674135280 is an apocalyptic number.

674135280 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 674135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393348320).

674135280 is an abundant number, since it is smaller than the sum of its proper divisors (2112561360).

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

674135280 is a wasteful number, since it uses less digits than its factorization.

674135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 674135280 is about 25964.1152362256. The cubic root of 674135280 is about 876.8305752276.

The spelling of 674135280 in words is "six hundred seventy-four million, one hundred thirty-five thousand, two hundred eighty".