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34247712 = 2531791993
BaseRepresentation
bin1000001010100…
…1010000100000
32101102222000210
42002221100200
532231411322
63222014120
7564046362
oct202512040
971388023
1034247712
11183718a4
12b577340
137131525
144796d32
15301770c
hex20a9420

34247712 has 48 divisors (see below), whose sum is σ = 90447840. Its totient is φ = 11346432.

The previous prime is 34247711. The next prime is 34247749. The reversal of 34247712 is 21774243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34247712.

It is not an unprimeable number, because it can be changed into a prime (34247711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16188 + ... + 18180.

It is an arithmetic number, because the mean of its divisors is an integer number (1884330).

Almost surely, 234247712 is an apocalyptic number.

34247712 is a gapful number since it is divisible by the number (32) 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 34247712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45223920).

34247712 is an abundant number, since it is smaller than the sum of its proper divisors (56200128).

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

34247712 is a wasteful number, since it uses less digits than its factorization.

34247712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 34247712 is about 5852.1544750630. The cubic root of 34247712 is about 324.7460327558.

The spelling of 34247712 in words is "thirty-four million, two hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 1993 2148 2864 3986 4296 5728 5979 7972 8592 11958 15944 17184 23916 31888 47832 63776 95664 191328 356747 713494 1070241 1426988 2140482 2853976 4280964 5707952 8561928 11415904 17123856 34247712