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674173440 = 29325291009
BaseRepresentation
bin101000001011110…
…001001000000000
31201222120120002200
4220023301020000
52340042022230
6150521513200
722464244143
oct5013611000
91658516080
10674173440
1131660a536
12169942800
13a9898bc5
146577405a
153e2c0160
hex282f1200

674173440 has 240 divisors, whose sum is σ = 2417758200. Its totient is φ = 173408256.

The previous prime is 674173397. The next prime is 674173441. The reversal of 674173440 is 44371476.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 489648384 + 184525056 = 22128^2 + 13584^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 674173395 and 674173404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674173441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667656 + ... + 668664.

Almost surely, 2674173440 is an apocalyptic number.

674173440 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 674173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208879100).

674173440 is an abundant number, since it is smaller than the sum of its proper divisors (1743584760).

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

674173440 is a wasteful number, since it uses less digits than its factorization.

674173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 674173440 is about 25964.8500862223. The cubic root of 674173440 is about 876.8471194952.

The spelling of 674173440 in words is "six hundred seventy-four million, one hundred seventy-three thousand, four hundred forty".