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396045 = 32513677
BaseRepresentation
bin1100000101100001101
3202010021100
41200230031
5100133140
612253313
73236436
oct1405415
9663240
10396045
11250611
12171239
1310b360
14a448d
157c530
hex60b0d

396045 has 24 divisors (see below), whose sum is σ = 740376. Its totient is φ = 194688.

The previous prime is 396043. The next prime is 396061. The reversal of 396045 is 540693.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84681 + 311364 = 291^2 + 558^2 .

It is not a de Polignac number, because 396045 - 21 = 396043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (30849).

2396045 is an apocalyptic number.

It is an amenable number.

396045 is a deficient number, since it is larger than the sum of its proper divisors (344331).

396045 is a wasteful number, since it uses less digits than its factorization.

396045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 396045 is about 629.3210627335. The cubic root of 396045 is about 73.4369861138.

It can be divided in two parts, 3960 and 45, that added together give a triangular number (4005 = T89).

The spelling of 396045 in words is "three hundred ninety-six thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 677 2031 3385 6093 8801 10155 26403 30465 44005 79209 132015 396045