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23434100 = 2252234341
BaseRepresentation
bin101100101100…
…1001101110100
31122002120112122
41121121031310
521444342400
62154135112
7403120664
oct131311564
948076478
1023434100
1112256428
127a21498
134b16541
1431801a4
1520cd685
hex1659374

23434100 has 18 divisors (see below), whose sum is σ = 50852214. Its totient is φ = 9373600.

The previous prime is 23434093. The next prime is 23434127. The reversal of 23434100 is 143432.

It can be written as a sum of positive squares in 3 ways, for example, as 5354596 + 18079504 = 2314^2 + 4252^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117071 + ... + 117270.

It is an arithmetic number, because the mean of its divisors is an integer number (2825123).

Almost surely, 223434100 is an apocalyptic number.

23434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434100 is an abundant number, since it is smaller than the sum of its proper divisors (27418114).

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

23434100 is a wasteful number, since it uses less digits than its factorization.

23434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234355 (or 234348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 23434100 is about 4840.8780195332. The cubic root of 23434100 is about 286.1647216458.

Adding to 23434100 its reverse (143432), we get a palindrome (23577532).

The spelling of 23434100 in words is "twenty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 234341 468682 937364 1171705 2343410 4686820 5858525 11717050 23434100