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2320400 = 24525801
BaseRepresentation
bin1000110110100000010000
311100212222202
420312200100
51043223100
6121422332
725503005
oct10664020
94325882
102320400
111345395
1293a9a8
13633224
144458ac
1530c7d5
hex236810

2320400 has 30 divisors (see below), whose sum is σ = 5575722. Its totient is φ = 928000.

The previous prime is 2320399. The next prime is 2320421. The reversal of 2320400 is 40232.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 1628176 = 832^2 + 1276^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501 + ... + 3300.

22320400 is an apocalyptic number.

2320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320400 is an abundant number, since it is smaller than the sum of its proper divisors (3255322).

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

2320400 is a wasteful number, since it uses less digits than its factorization.

2320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2320400 is about 1523.2859219464. The cubic root of 2320400 is about 132.3897266911.

Adding to 2320400 its reverse (40232), we get a palindrome (2360632).

The spelling of 2320400 in words is "two million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5801 11602 23204 29005 46408 58010 92816 116020 145025 232040 290050 464080 580100 1160200 2320400