Search a number
-
+
336804 = 2231317127
BaseRepresentation
bin1010010001110100100
3122010000020
41102032210
541234204
611115140
72601636
oct1221644
9563006
10336804
11210056
12142ab0
13ba3c0
148aa56
1569bd9
hex523a4

336804 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 96768.

The previous prime is 336803. The next prime is 336823. The reversal of 336804 is 408633.

It is a super-2 number, since 2×3368042 = 226873868832, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336804.

It is not an unprimeable number, because it can be changed into a prime (336803) 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, 2589 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2336804 is an apocalyptic number.

336804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

336804 is an abundant number, since it is smaller than the sum of its proper divisors (566364).

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

336804 is a wasteful number, since it uses less digits than its factorization.

336804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 336804 is about 580.3481713592. The cubic root of 336804 is about 69.5759396290.

The spelling of 336804 in words is "three hundred thirty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 127 156 204 221 254 381 442 508 663 762 884 1326 1524 1651 2159 2652 3302 4318 4953 6477 6604 8636 9906 12954 19812 25908 28067 56134 84201 112268 168402 336804