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674184960 = 28325431361
BaseRepresentation
bin101000001011110…
…011111100000000
31201222121010220100
4220023303330000
52340042404320
6150522042400
722464322551
oct5013637400
91658533810
10674184960
11316618159
12169949400
13a98a1217
1465778328
153e2c3790
hex282f3f00

674184960 has 216 divisors, whose sum is σ = 2388610224. Its totient is φ = 175472640.

The previous prime is 674184913. The next prime is 674184971. The reversal of 674184960 is 69481476.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 494680 + ... + 496040.

Almost surely, 2674184960 is an apocalyptic number.

674184960 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 674184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194305112).

674184960 is an abundant number, since it is smaller than the sum of its proper divisors (1714425264).

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

674184960 is a wasteful number, since it uses less digits than its factorization.

674184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1414 counting only the distinct ones).

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

The square root of 674184960 is about 25965.0719236439. The cubic root of 674184960 is about 876.8521138684.

The spelling of 674184960 in words is "six hundred seventy-four million, one hundred eighty-four thousand, nine hundred sixty".