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674873472 = 27372133189
BaseRepresentation
bin101000001110011…
…100000010000000
31202000220010100210
4220032130002000
52340231422342
6150544514120
722503221100
oct5016340200
91660803323
10674873472
11316a48479
1216a01b940
13a9a82720
14658b7200
153e3ac79c
hex2839c080

674873472 has 384 divisors, whose sum is σ = 2344204800. Its totient is φ = 170311680.

The previous prime is 674873461. The next prime is 674873477. The reversal of 674873472 is 274378476.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674873477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582804 + ... + 7582892.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2674873472 is an apocalyptic number.

674873472 is a gapful number since it is divisible by the number (62) 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 674873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

674873472 is an abundant number, since it is smaller than the sum of its proper divisors (1669331328).

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

674873472 is a wasteful number, since it uses less digits than its factorization.

674873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 674873472 is about 25978.3269669161. The cubic root of 674873472 is about 877.1505076512.

The spelling of 674873472 in words is "six hundred seventy-four million, eight hundred seventy-three thousand, four hundred seventy-two".