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674182440 = 233452383109
BaseRepresentation
bin101000001011110…
…011010100101000
31201222121000110000
4220023303110220
52340042314230
6150522023000
722464312321
oct5013632450
91658530400
10674182440
11316616278
12169947a60
13a98a0029
1465777448
153e2c2b60
hex282f3528

674182440 has 320 divisors, whose sum is σ = 2414966400. Its totient is φ = 168334848.

The previous prime is 674182427. The next prime is 674182477. The reversal of 674182440 is 44281476.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 674182395 and 674182404.

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 79 ways as a sum of consecutive naturals, for example, 6185106 + ... + 6185214.

It is an arithmetic number, because the mean of its divisors is an integer number (7546770).

Almost surely, 2674182440 is an apocalyptic number.

674182440 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 674182440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207483200).

674182440 is an abundant number, since it is smaller than the sum of its proper divisors (1740783960).

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

674182440 is a wasteful number, since it uses less digits than its factorization.

674182440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 674182440 is about 25965.0233968699. The cubic root of 674182440 is about 876.8510213541.

The spelling of 674182440 in words is "six hundred seventy-four million, one hundred eighty-two thousand, four hundred forty".