Search a number
-
+
88374 = 231113103
BaseRepresentation
bin10101100100110110
311111020010
4111210312
510311444
61521050
7515436
oct254466
9144203
1088374
1160440
1243186
13312c0
14242c6
151b2b9
hex15936

88374 has 32 divisors (see below), whose sum is σ = 209664. Its totient is φ = 24480.

The previous prime is 88339. The next prime is 88379. The reversal of 88374 is 47388.

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 88374.

It is not an unprimeable number, because it can be changed into a prime (88379) by changing a digit.

88374 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 15 ways as a sum of consecutive naturals, for example, 807 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

288374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

88374 is an abundant number, since it is smaller than the sum of its proper divisors (121290).

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

88374 is a wasteful number, since it uses less digits than its factorization.

88374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 5376, while the sum is 30.

The square root of 88374 is about 297.2776479993. The cubic root of 88374 is about 44.5425255227.

The spelling of 88374 in words is "eighty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 103 143 206 286 309 429 618 858 1133 1339 2266 2678 3399 4017 6798 8034 14729 29458 44187 88374