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13374 = 232743
BaseRepresentation
bin11010000111110
3200100100
43100332
5411444
6141530
753664
oct32076
920310
1013374
11a059
1278a6
13611a
144c34
153e69
hex343e

13374 has 12 divisors (see below), whose sum is σ = 29016. Its totient is φ = 4452.

The previous prime is 13367. The next prime is 13381. The reversal of 13374 is 47331.

13374 = T17 + T18 + ... + T43.

It is an interprime number because it is at equal distance from previous prime (13367) and next prime (13381).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 743 = 13374 / (1 + 3 + 3 + 7 + 4).

It is a congruent number.

It is an unprimeable number.

13374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

213374 is an apocalyptic number.

13374 is an abundant number, since it is smaller than the sum of its proper divisors (15642).

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

13374 is a wasteful number, since it uses less digits than its factorization.

13374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 748 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 13374 is about 115.6460116044. The cubic root of 13374 is about 23.7367053941.

It can be divided in two parts, 1 and 3374, that added together give a cube (3375 = 153).

The spelling of 13374 in words is "thirteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 743 1486 2229 4458 6687 13374