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396429 = 31141293
BaseRepresentation
bin1100000110010001101
3202010210120
41200302031
5100141204
612255153
73240525
oct1406215
9663716
10396429
11250930
121714b9
1310b597
14a4685
157c6d9
hex60c8d

396429 has 16 divisors (see below), whose sum is σ = 592704. Its totient is φ = 233600.

The previous prime is 396427. The next prime is 396437. The reversal of 396429 is 924693.

It is a cyclic number.

It is not a de Polignac number, because 396429 - 21 = 396427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 37 + 92 + 49 + 63 + 217 + 93 .

396429 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 396429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2396429 is an apocalyptic number.

It is an amenable number.

396429 is a deficient number, since it is larger than the sum of its proper divisors (196275).

396429 is a wasteful number, since it uses less digits than its factorization.

396429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its digits is 11664, while the sum is 33.

The square root of 396429 is about 629.6260795107. The cubic root of 396429 is about 73.4607129576.

It can be divided in two parts, 3964 and 29, that added together give a palindrome (3993).

The spelling of 396429 in words is "three hundred ninety-six thousand, four hundred twenty-nine".

Divisors: 1 3 11 33 41 123 293 451 879 1353 3223 9669 12013 36039 132143 396429