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31374 = 233783
BaseRepresentation
bin111101010001110
31121001000
413222032
52000444
6401130
7160320
oct75216
947030
1031374
1121632
12161a6
1311385
14b610
159469
hex7a8e

31374 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 8856.

The previous prime is 31357. The next prime is 31379. The reversal of 31374 is 47313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31374.

It is not an unprimeable number, because it can be changed into a prime (31379) 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, 337 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

231374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

31374 is an abundant number, since it is smaller than the sum of its proper divisors (49266).

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

31374 is a wasteful number, since it uses less digits than its factorization.

31374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

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

The square root of 31374 is about 177.1270730295. The cubic root of 31374 is about 31.5396326538.

Adding to 31374 its product of digits (252), we get a triangular number (31626 = T251).

Adding to 31374 its reverse (47313), we get a palindrome (78687).

The spelling of 31374 in words is "thirty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1494 1743 2241 3486 4482 5229 10458 15687 31374