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674916480 = 27325719881
BaseRepresentation
bin101000001110100…
…110100010000000
31202000222022100200
4220032212202000
52340234311410
6150545445200
722503460350
oct5016464200
91660868320
10674916480
11316a77817
1216a040800
13a9a99184
14658c8b60
153e3ba3c0
hex283a6880

674916480 has 384 divisors, whose sum is σ = 2806876800. Its totient is φ = 145981440.

The previous prime is 674916443. The next prime is 674916503. The reversal of 674916480 is 84619476.

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 (45).

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, 765640 + ... + 766520.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2674916480 is an apocalyptic number.

674916480 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 674916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

674916480 is an abundant number, since it is smaller than the sum of its proper divisors (2131960320).

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

674916480 is a wasteful number, since it uses less digits than its factorization.

674916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 674916480 is about 25979.1547206602. The cubic root of 674916480 is about 877.1691401254.

The spelling of 674916480 in words is "six hundred seventy-four million, nine hundred sixteen thousand, four hundred eighty".