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34070100 = 22352113567
BaseRepresentation
bin1000000111110…
…1111001010100
32101002221101120
42001331321110
532210220400
63214123540
7562406511
oct201757124
971087346
1034070100
1118260409
12b4b05b0
13709b72c
14474c308
152ececa0
hex207de54

34070100 has 36 divisors (see below), whose sum is σ = 98577024. Its totient is φ = 9085280.

The previous prime is 34070077. The next prime is 34070111. The reversal of 34070100 is 107043.

34070100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34070100.

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 11 ways as a sum of consecutive naturals, for example, 56484 + ... + 57083.

Almost surely, 234070100 is an apocalyptic number.

34070100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34070100 is an abundant number, since it is smaller than the sum of its proper divisors (64506924).

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

34070100 is a wasteful number, since it uses less digits than its factorization.

34070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113584 (or 113577 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 34070100 is about 5836.9598251144. The cubic root of 34070100 is about 324.1836711987.

Adding to 34070100 its reverse (107043), we get a palindrome (34177143).

The spelling of 34070100 in words is "thirty-four million, seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 113567 227134 340701 454268 567835 681402 1135670 1362804 1703505 2271340 2839175 3407010 5678350 6814020 8517525 11356700 17035050 34070100