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397623408 = 243713294373
BaseRepresentation
bin10111101100110…
…100000001110000
31000201012100202220
4113230310001300
51303242422113
6103242241040
712565512630
oct2754640160
91021170686
10397623408
111944a2396
12b11b6180
13644bb930
143ab466c0
1524d94523
hex17b34070

397623408 has 320 divisors, whose sum is σ = 1356579840. Its totient is φ = 97542144.

The previous prime is 397623377. The next prime is 397623427. The reversal of 397623408 is 804326793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 397623408.

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 63 ways as a sum of consecutive naturals, for example, 5446860 + ... + 5446932.

It is an arithmetic number, because the mean of its divisors is an integer number (4239312).

Almost surely, 2397623408 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 397623408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678289920).

397623408 is an abundant number, since it is smaller than the sum of its proper divisors (958956432).

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

397623408 is a wasteful number, since it uses less digits than its factorization.

397623408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 397623408 is about 19940.4966838843. The cubic root of 397623408 is about 735.3441601711.

The spelling of 397623408 in words is "three hundred ninety-seven million, six hundred twenty-three thousand, four hundred eight".