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34272462 = 2372432711
BaseRepresentation
bin1000001010111…
…1010011001110
32101111012222110
42002233103032
532233204322
63222324450
7564211500
oct202572316
971435873
1034272462
1118389454
12b589726
13713c883
1447a1d70
15301ec0c
hex20af4ce

34272462 has 48 divisors (see below), whose sum is σ = 81620352. Its totient is φ = 9560880.

The previous prime is 34272457. The next prime is 34272463. The reversal of 34272462 is 26427243.

34272462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34272463) 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 23 ways as a sum of consecutive naturals, for example, 11287 + ... + 13997.

It is an arithmetic number, because the mean of its divisors is an integer number (1700424).

Almost surely, 234272462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34272462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40810176).

34272462 is an abundant number, since it is smaller than the sum of its proper divisors (47347890).

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

34272462 is a wasteful number, since it uses less digits than its factorization.

34272462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2766 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 34272462 is about 5854.2686989922. The cubic root of 34272462 is about 324.8242426416.

The spelling of 34272462 in words is "thirty-four million, two hundred seventy-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 2711 4214 5422 6321 8133 12642 16266 18977 37954 56931 113862 116573 132839 233146 265678 349719 398517 699438 797034 816011 1632022 2448033 4896066 5712077 11424154 17136231 34272462