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674387280 = 243257172463
BaseRepresentation
bin101000001100100…
…101010101010000
31201222222102102200
4220030211111100
52340120343110
6150530243200
722466124450
oct5014452520
91658872380
10674387280
11316746166
12169a26500
13a9942338
14657cbd60
153e3136c0
hex28325550

674387280 has 360 divisors, whose sum is σ = 2755514112. Its totient is φ = 144764928.

The previous prime is 674387279. The next prime is 674387281. The reversal of 674387280 is 82783476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (674387279) and next prime (674387281).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674387281) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1456329 + ... + 1456791.

Almost surely, 2674387280 is an apocalyptic number.

674387280 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 674387280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377757056).

674387280 is an abundant number, since it is smaller than the sum of its proper divisors (2081126832).

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

674387280 is a wasteful number, since it uses less digits than its factorization.

674387280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 674387280 is about 25968.9676344671. The cubic root of 674387280 is about 876.9398182755.

The spelling of 674387280 in words is "six hundred seventy-four million, three hundred eighty-seven thousand, two hundred eighty".