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34328200 = 2352171641
BaseRepresentation
bin1000001011110…
…0111010001000
32101121001102211
42002330322020
532242000300
63223434504
7564533134
oct202747210
971531384
1034328200
1118417315
12b5b5a34
13715c05a
1447b83c4
1530314ba
hex20bce88

34328200 has 24 divisors (see below), whose sum is σ = 79813530. Its totient is φ = 13731200.

The previous prime is 34328179. The next prime is 34328201. The reversal of 34328200 is 282343.

It can be written as a sum of positive squares in 3 ways, for example, as 22259524 + 12068676 = 4718^2 + 3474^2 .

It is not an unprimeable number, because it can be changed into a prime (34328201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85621 + ... + 86020.

Almost surely, 234328200 is an apocalyptic number.

It is an amenable number.

34328200 is an abundant number, since it is smaller than the sum of its proper divisors (45485330).

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

34328200 is a wasteful number, since it uses less digits than its factorization.

34328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171657 (or 171648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34328200 is about 5859.0272230124. The cubic root of 34328200 is about 325.0002366862. Note that the first 3 decimals are identical.

The spelling of 34328200 in words is "thirty-four million, three hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 171641 343282 686564 858205 1373128 1716410 3432820 4291025 6865640 8582050 17164100 34328200