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2534352 = 243371427
BaseRepresentation
bin1001101010101111010000
311202202110220
421222233100
51122044402
6130153040
730353532
oct11525720
94682426
102534352
111481107
12a22780
136a9722
1449d852
15350dbc
hex26abd0

2534352 has 40 divisors (see below), whose sum is σ = 6728736. Its totient is φ = 821376.

The previous prime is 2534351. The next prime is 2534401.

2534352 is nontrivially palindromic in base 10.

2534352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 214 + 54 + 32 + 47 + 312 + 59 + 214 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063 + ... + 2489.

22534352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364368).

2534352 is an abundant number, since it is smaller than the sum of its proper divisors (4194384).

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

2534352 is a wasteful number, since it uses less digits than its factorization.

2534352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its digits is 3600, while the sum is 24.

The square root of 2534352 is about 1591.9648237320. The cubic root of 2534352 is about 136.3396929274.

The spelling of 2534352 in words is "two million, five hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1427 1776 2854 4281 5708 8562 11416 17124 22832 34248 52799 68496 105598 158397 211196 316794 422392 633588 844784 1267176 2534352