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2632364 = 227412293
BaseRepresentation
bin1010000010101010101100
311221201220222
422002222230
51133213424
6132230512
731242350
oct12025254
94851828
102632364
111538809
12a6b438
13712217
144c7460
1536ee5e
hex282aac

2632364 has 24 divisors (see below), whose sum is σ = 5395488. Its totient is φ = 1100160.

The previous prime is 2632361. The next prime is 2632369. The reversal of 2632364 is 4632362.

2632364 is nontrivially palindromic in base 13.

It is a d-powerful number, because it can be written as 27 + 63 + 37 + 221 + 312 + 63 + 45 .

It is not an unprimeable number, because it can be changed into a prime (2632361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (224812).

22632364 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 2632364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697744).

2632364 is an abundant number, since it is smaller than the sum of its proper divisors (2763124).

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

2632364 is a wasteful number, since it uses less digits than its factorization.

2632364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2343 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 2632364 is about 1622.4561627360. The cubic root of 2632364 is about 138.0750834146.

The spelling of 2632364 in words is "two million, six hundred thirty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 2293 4586 9172 16051 32102 64204 94013 188026 376052 658091 1316182 2632364