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396704 = 25721123
BaseRepresentation
bin1100000110110100000
3202011011202
41200312200
5100143304
612300332
73241400
oct1406640
9664152
10396704
11251060
121716a8
1310b749
14a4800
157c81e
hex60da0

396704 has 72 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 147840.

The previous prime is 396703. The next prime is 396709. The reversal of 396704 is 407693.

396704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396704.

It is not an unprimeable number, because it can be changed into a prime (396703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17237 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2396704 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 396704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

396704 is an abundant number, since it is smaller than the sum of its proper divisors (637504).

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

396704 is a wasteful number, since it uses less digits than its factorization.

396704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 396704 is about 629.8444252353. The cubic root of 396704 is about 73.4776954240.

It can be divided in two parts, 396 and 704, that multiplied together give a square (278784 = 5282).

The spelling of 396704 in words is "three hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 506 539 616 644 736 784 1012 1078 1127 1232 1288 1568 1771 2024 2156 2254 2464 2576 3542 4048 4312 4508 5152 7084 8096 8624 9016 12397 14168 17248 18032 24794 28336 36064 49588 56672 99176 198352 396704