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34385712 = 2434911459
BaseRepresentation
bin1000001100101…
…0111100110000
32101200222022220
42003022330300
532300320322
63225001040
7565162614
oct203127460
971628286
1034385712
1118456549
12b623180
13717c29a
1447d1344
15304355c
hex20caf30

34385712 has 40 divisors (see below), whose sum is σ = 89071680. Its totient is φ = 11430720.

The previous prime is 34385707. The next prime is 34385719. The reversal of 34385712 is 21758343.

It is not an unprimeable number, because it can be changed into a prime (34385719) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22839 + ... + 24297.

It is an arithmetic number, because the mean of its divisors is an integer number (2226792).

Almost surely, 234385712 is an apocalyptic number.

It is an amenable number.

34385712 is an abundant number, since it is smaller than the sum of its proper divisors (54685968).

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

34385712 is a wasteful number, since it uses less digits than its factorization.

34385712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 34385712 is about 5863.9331510514. The cubic root of 34385712 is about 325.1816325945.

The spelling of 34385712 in words is "thirty-four million, three hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 491 982 1459 1473 1964 2918 2946 3928 4377 5836 5892 7856 8754 11672 11784 17508 23344 23568 35016 70032 716369 1432738 2149107 2865476 4298214 5730952 8596428 11461904 17192856 34385712