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397320192 = 2133217317
BaseRepresentation
bin10111101011101…
…010000000000000
31000200121221211200
4113223222000000
51303203221232
6103231541200
712563110623
oct2753520000
91020557750
10397320192
111943055a5
12b108a800
1364413909
143aaa7dba
1524d3477c
hex17aea000

397320192 has 168 divisors, whose sum is σ = 1219091796. Its totient is φ = 124256256.

The previous prime is 397320181. The next prime is 397320223. The reversal of 397320192 is 291023793.

It can be written as a sum of positive squares in 2 ways, for example, as 391090176 + 6230016 = 19776^2 + 2496^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253218 + ... + 1253534.

Almost surely, 2397320192 is an apocalyptic number.

397320192 is a gapful number since it is divisible by the number (32) 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 397320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609545898).

397320192 is an abundant number, since it is smaller than the sum of its proper divisors (821771604).

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

397320192 is a wasteful number, since it uses less digits than its factorization.

397320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 397320192 is about 19932.8922136252. The cubic root of 397320192 is about 735.1571953104.

The spelling of 397320192 in words is "three hundred ninety-seven million, three hundred twenty thousand, one hundred ninety-two".