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397349000 = 23531972017
BaseRepresentation
bin10111101011110…
…001000010001000
31000200200102100122
4113223301002020
51303210132000
6103232322412
712563260616
oct2753610210
91020612318
10397349000
11194325204
12b10a3408
1364423a69
143aab46b6
1524d3d085
hex17af1088

397349000 has 64 divisors (see below), whose sum is σ = 934979760. Its totient is φ = 158054400.

The previous prime is 397348993. The next prime is 397349009. The reversal of 397349000 is 943793.

It can be written as a sum of positive squares in 8 ways, for example, as 161849284 + 235499716 = 12722^2 + 15346^2 .

It is not an unprimeable number, because it can be changed into a prime (397349009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195992 + ... + 198008.

Almost surely, 2397349000 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 397349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467489880).

397349000 is an abundant number, since it is smaller than the sum of its proper divisors (537630760).

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

397349000 is a wasteful number, since it uses less digits than its factorization.

397349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 397349000 is about 19933.6148252142. The cubic root of 397349000 is about 735.1749625899.

The spelling of 397349000 in words is "three hundred ninety-seven million, three hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 788 985 1000 1576 1970 2017 3940 4034 4925 7880 8068 9850 10085 16136 19700 20170 24625 39400 40340 49250 50425 80680 98500 100850 197000 201700 252125 397349 403400 504250 794698 1008500 1589396 1986745 2017000 3178792 3973490 7946980 9933725 15893960 19867450 39734900 49668625 79469800 99337250 198674500 397349000