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674483040 = 253257211279
BaseRepresentation
bin101000001100111…
…100101101100000
31202000011021210100
4220030330231200
52340131424130
6150532302400
722500003600
oct5014745540
91660137710
10674483040
11316801100
12169a71a00
13a9976aba
1465814c00
153e331c60
hex2833cb60

674483040 has 648 divisors, whose sum is σ = 2980242720. Its totient is φ = 138378240.

The previous prime is 674483023. The next prime is 674483053. The reversal of 674483040 is 40384476.

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

It is a junction number, because it is equal to n+sod(n) for n = 674482986 and 674483004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537721 + ... + 8537799.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2674483040 is an apocalyptic number.

674483040 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 674483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490121360).

674483040 is an abundant number, since it is smaller than the sum of its proper divisors (2305759680).

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

674483040 is a wasteful number, since it uses less digits than its factorization.

674483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 674483040 is about 25970.8113080820. The cubic root of 674483040 is about 876.9813234981.

The spelling of 674483040 in words is "six hundred seventy-four million, four hundred eighty-three thousand, forty".