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34272500 = 225413709
BaseRepresentation
bin1000001010111…
…1010011110100
32101111020000212
42002233103310
532233210000
63222324552
7564211553
oct202572364
971436025
1034272500
1118389489
12b589758
13713c8b2
1447a1d9a
15301ec35
hex20af4f4

34272500 has 30 divisors (see below), whose sum is σ = 74952570. Its totient is φ = 13708000.

The previous prime is 34272479. The next prime is 34272509. The reversal of 34272500 is 527243.

34272500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7107556 + 27164944 = 2666^2 + 5212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34272509) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4355 + ... + 9354.

It is an arithmetic number, because the mean of its divisors is an integer number (2498419).

Almost surely, 234272500 is an apocalyptic number.

It is an amenable number.

34272500 is an abundant number, since it is smaller than the sum of its proper divisors (40680070).

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

34272500 is a wasteful number, since it uses less digits than its factorization.

34272500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 34272500 is about 5854.2719444864. The cubic root of 34272500 is about 324.8243626924.

Adding to 34272500 its reverse (527243), we get a palindrome (34799743).

The spelling of 34272500 in words is "thirty-four million, two hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 13709 27418 54836 68545 137090 274180 342725 685450 1370900 1713625 3427250 6854500 8568125 17136250 34272500