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396274032 = 24347112192
BaseRepresentation
bin10111100111101…
…010100101110000
31000121122210210000
4113213222211300
51302421232112
6103153310000
712551162610
oct2747524560
91017583700
10396274032
11193760600
12b0865300
136413869b
143a8b4a40
1524bc97dc
hex179ea970

396274032 has 450 divisors, whose sum is σ = 1520595384. Its totient is φ = 97511040.

The previous prime is 396274019. The next prime is 396274037. The reversal of 396274032 is 230472693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396274037) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 20856519 + ... + 20856537.

Almost surely, 2396274032 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 396274032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760297692).

396274032 is an abundant number, since it is smaller than the sum of its proper divisors (1124321352).

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

396274032 is a wasteful number, since it uses less digits than its factorization.

396274032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 396274032 is about 19906.6328644500. The cubic root of 396274032 is about 734.5113953798.

Adding to 396274032 its product of nonzero digits (54432), we get a square (396328464 = 199082).

The spelling of 396274032 in words is "three hundred ninety-six million, two hundred seventy-four thousand, thirty-two".