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23434000 = 245311717
BaseRepresentation
bin101100101100…
…1001100010000
31122002120101221
41121121030100
521444342000
62154134424
7403120462
oct131311420
948076357
1023434000
1112256347
127a21414
134b16495
143180132
1520cd61a
hex1659310

23434000 has 40 divisors (see below), whose sum is σ = 56668248. Its totient is φ = 9372800.

The previous prime is 23433989. The next prime is 23434009. The reversal of 23434000 is 43432.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 16548624 = 2624^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23434009) 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, 3859 + ... + 7858.

Almost surely, 223434000 is an apocalyptic number.

23434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434000 is an abundant number, since it is smaller than the sum of its proper divisors (33234248).

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

23434000 is a wasteful number, since it uses less digits than its factorization.

23434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23434000 is about 4840.8676908174. The cubic root of 23434000 is about 286.1643145964.

Adding to 23434000 its reverse (43432), we get a palindrome (23477432).

The spelling of 23434000 in words is "twenty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11717 23434 46868 58585 93736 117170 187472 234340 292925 468680 585850 937360 1171700 1464625 2343400 2929250 4686800 5858500 11717000 23434000