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253374 = 23112349
BaseRepresentation
bin111101110110111110
3110212120020
4331312332
531101444
65233010
72103462
oct756676
9425506
10253374
11163400
12102766
138b434
14684a2
1550119
hex3ddbe

253374 has 24 divisors (see below), whose sum is σ = 558600. Its totient is φ = 76560.

The previous prime is 253369. The next prime is 253381. The reversal of 253374 is 473352.

253374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 253374.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (23275).

2253374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279300).

253374 is an abundant number, since it is smaller than the sum of its proper divisors (305226).

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

253374 is a wasteful number, since it uses less digits than its factorization.

253374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 253374 is about 503.3626923005. The cubic root of 253374 is about 63.2781852959.

The spelling of 253374 in words is "two hundred fifty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 349 363 698 726 1047 2094 3839 7678 11517 23034 42229 84458 126687 253374