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674666640 = 2432531167181
BaseRepresentation
bin101000001101101…
…001100010010000
31202000111121122100
4220031221202100
52340203313030
6150540240400
722501400064
oct5015514220
91660447570
10674666640
1131691703a
12169b40100
13a9a0c53b
1465861aa4
153e36b360
hex28369890

674666640 has 240 divisors, whose sum is σ = 2365848576. Its totient is φ = 172108800.

The previous prime is 674666633. The next prime is 674666651. The reversal of 674666640 is 46666476.

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 (45).

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 47 ways as a sum of consecutive naturals, for example, 3727350 + ... + 3727530.

Almost surely, 2674666640 is an apocalyptic number.

674666640 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 674666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182924288).

674666640 is an abundant number, since it is smaller than the sum of its proper divisors (1691181936).

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

674666640 is a wasteful number, since it uses less digits than its factorization.

674666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 674666640 is about 25974.3458050439. The cubic root of 674666640 is about 877.0608901953.

The spelling of 674666640 in words is "six hundred seventy-four million, six hundred sixty-six thousand, six hundred forty".