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369808 = 2429797
BaseRepresentation
bin1011010010010010000
3200210021121
41122102100
543313213
611532024
73100105
oct1322220
9623247
10369808
1123292a
1215a014
13cc42a
1498aac
157488d
hex5a490

369808 has 20 divisors (see below), whose sum is σ = 742140. Its totient is φ = 178304.

The previous prime is 369793. The next prime is 369821. The reversal of 369808 is 808963.

369808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 183184 = 432^2 + 428^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369808.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 66 + ... + 862.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2369808 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 369808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371070).

369808 is an abundant number, since it is smaller than the sum of its proper divisors (372332).

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

369808 is a wasteful number, since it uses less digits than its factorization.

369808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 369808 is about 608.1184095224. The cubic root of 369808 is about 71.7781235484.

The spelling of 369808 in words is "three hundred sixty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 797 1594 3188 6376 12752 23113 46226 92452 184904 369808