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397044 = 223241269
BaseRepresentation
bin1100000111011110100
3202011122100
41200323310
5100201134
612302100
73242364
oct1407364
9664570
10397044
1125133a
12171930
1310b94b
14a49a4
157c999
hex60ef4

397044 has 36 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 128640.

The previous prime is 397037. The next prime is 397051. The reversal of 397044 is 440793.

397044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (397037) and next prime (397051).

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 374544 = 150^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 396999 and 397017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2397044 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 397044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970).

397044 is an abundant number, since it is smaller than the sum of its proper divisors (634896).

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

397044 is a wasteful number, since it uses less digits than its factorization.

397044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 397044 is about 630.1142753501. The cubic root of 397044 is about 73.4986810814.

The spelling of 397044 in words is "three hundred ninety-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 269 369 492 538 738 807 1076 1476 1614 2421 3228 4842 9684 11029 22058 33087 44116 66174 99261 132348 198522 397044