Search a number
-
+
274032 = 243211173
BaseRepresentation
bin1000010111001110000
3111220220100
41002321300
532232112
65512400
72220633
oct1027160
9456810
10274032
11177980
12112700
1397965
1471c1a
15562dc
hex42e70

274032 has 60 divisors (see below), whose sum is σ = 841464. Its totient is φ = 82560.

The previous prime is 274019. The next prime is 274033. The reversal of 274032 is 230472.

It is a happy number.

274032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 273996 and 274014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274033) by changing a digit.

274032 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 11 ways as a sum of consecutive naturals, for example, 1498 + ... + 1670.

2274032 is an apocalyptic number.

274032 is a gapful number since it is divisible by the number (22) 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 274032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420732).

274032 is an abundant number, since it is smaller than the sum of its proper divisors (567432).

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

274032 is a wasteful number, since it uses less digits than its factorization.

274032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 274032 is about 523.4806586685. The cubic root of 274032 is about 64.9531812753.

It can be divided in two parts, 2740 and 32, that added together give a palindrome (2772).

The spelling of 274032 in words is "two hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 173 176 198 264 346 396 519 528 692 792 1038 1384 1557 1584 1903 2076 2768 3114 3806 4152 5709 6228 7612 8304 11418 12456 15224 17127 22836 24912 30448 34254 45672 68508 91344 137016 274032