Search a number
-
+
274400 = 255273
BaseRepresentation
bin1000010111111100000
3111221101222
41002333200
532240100
65514212
72222000
oct1027740
9457358
10274400
11178185
12112968
1397b89
1472000
1556485
hex42fe0

274400 has 72 divisors (see below), whose sum is σ = 781200. Its totient is φ = 94080.

The previous prime is 274361. The next prime is 274403. The reversal of 274400 is 4472.

Multipling 274400 by its product of nonzero digits (224), we get a square (61465600 = 78402).

274400 divided by its product of nonzero digits (224) gives a triangular number (1225 = T49).

Adding to 274400 its reverse (4472), we get a palindrome (278872).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274403) by changing a digit.

274400 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, 39197 + ... + 39203.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2274400 is an apocalyptic number.

274400 is a gapful number since it is divisible by the number (20) 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 274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

274400 is an abundant number, since it is smaller than the sum of its proper divisors (506800).

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

274400 is an equidigital number, since it uses as much as digits as its factorization.

274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 274400 is about 523.8320341484. The cubic root of 274400 is about 64.9822436706.

The spelling of 274400 in words is "two hundred seventy-four thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 343 350 392 400 490 560 686 700 784 800 980 1120 1225 1372 1400 1568 1715 1960 2450 2744 2800 3430 3920 4900 5488 5600 6860 7840 8575 9800 10976 13720 17150 19600 27440 34300 39200 54880 68600 137200 274400