Search a number
-
+
369104 = 24172359
BaseRepresentation
bin1011010000111010000
3200202022112
41122013100
543302404
611524452
73065051
oct1320720
9622275
10369104
1123234a
12159728
13cc008
1498728
157456e
hex5a1d0

369104 has 40 divisors (see below), whose sum is σ = 803520. Its totient is φ = 163328.

The previous prime is 369097. The next prime is 369119. The reversal of 369104 is 401963.

369104 = T67 + T68 + ... + T135.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 369104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6227 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2369104 is an apocalyptic number.

369104 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 369104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

369104 is an abundant number, since it is smaller than the sum of its proper divisors (434416).

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

369104 is a wasteful number, since it uses less digits than its factorization.

369104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 369104 is about 607.5392991404. The cubic root of 369104 is about 71.7325468360.

The spelling of 369104 in words is "three hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 59 68 92 118 136 184 236 272 368 391 472 782 944 1003 1357 1564 2006 2714 3128 4012 5428 6256 8024 10856 16048 21712 23069 46138 92276 184552 369104