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394045344 = 25337115923
BaseRepresentation
bin10111011111001…
…010011110100000
31000110110120121000
4113133022132200
51301333422334
6103033432000
712523221150
oct2737123640
91013416530
10394045344
11192479110
12abb6b600
1363838134
143a494760
15248d9299
hex177ca7a0

394045344 has 192 divisors, whose sum is σ = 1433134080. Its totient is φ = 102332160.

The previous prime is 394045319. The next prime is 394045357. The reversal of 394045344 is 443540493.

It is a happy number.

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 = 394045299 and 394045308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63567 + ... + 69489.

It is an arithmetic number, because the mean of its divisors is an integer number (7464240).

Almost surely, 2394045344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716567040).

394045344 is an abundant number, since it is smaller than the sum of its proper divisors (1039088736).

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

394045344 is a wasteful number, since it uses less digits than its factorization.

394045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 394045344 is about 19850.5754072772. The cubic root of 394045344 is about 733.1318153355.

It can be divided in two parts, 3940 and 45344, that added together give a square (49284 = 2222).

The spelling of 394045344 in words is "three hundred ninety-four million, forty-five thousand, three hundred forty-four".