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2314332 = 22352381
BaseRepresentation
bin1000110101000001011100
311100120200000
420311001130
51043024312
6121334300
725446216
oct10650134
94316600
102314332
111340879
12937390
13630537
144435b6
1530aadc
hex23505c

2314332 has 36 divisors (see below), whose sum is σ = 6069336. Its totient is φ = 771120.

The previous prime is 2314309. The next prime is 2314339. The reversal of 2314332 is 2334132.

2314332 is a `hidden beast` number, since 231 + 433 + 2 = 666.

2314332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23143322 = 10712265212448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 37 + 1 + 47 + 311 + 313 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 2162.

22314332 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 2314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034668).

2314332 is an abundant number, since it is smaller than the sum of its proper divisors (3755004).

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

2314332 is a wasteful number, since it uses less digits than its factorization.

2314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 2314332 is about 1521.2928712119. The cubic root of 2314332 is about 132.2742233089.

Adding to 2314332 its reverse (2334132), we get a palindrome (4648464).

The spelling of 2314332 in words is "two million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2381 4762 7143 9524 14286 21429 28572 42858 64287 85716 128574 192861 257148 385722 578583 771444 1157166 2314332