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34070700 = 223523372
BaseRepresentation
bin1000000111111…
…0000010101100
32101002222012210
42001332002230
532210230300
63214130420
7562411326
oct201760254
971088183
1034070700
1118260904
12b4b0a10
13709baa1
14474c616
152ed0050
hex207e0ac

34070700 has 54 divisors (see below), whose sum is σ = 98871276. Its totient is φ = 9058560.

The previous prime is 34070693. The next prime is 34070717. The reversal of 34070700 is 707043.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 100932 + ... + 101268.

Almost surely, 234070700 is an apocalyptic number.

34070700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34070700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49435638).

34070700 is an abundant number, since it is smaller than the sum of its proper divisors (64800576).

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

34070700 is a wasteful number, since it uses less digits than its factorization.

34070700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 34070700 is about 5837.0112215071. The cubic root of 34070700 is about 324.1855742267.

Multiplying 34070700 by its product of nonzero digits (588), we get a square (20033571600 = 1415402).

Adding to 34070700 its reverse (707043), we get a palindrome (34777743).

The spelling of 34070700 in words is "thirty-four million, seventy thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 50550 101100 113569 227138 340707 454276 567845 681414 1135690 1362828 1703535 2271380 2839225 3407070 5678450 6814140 8517675 11356900 17035350 34070700