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34242444 = 22326611439
BaseRepresentation
bin1000001010011…
…1111110001100
32101102200210200
42002213332030
532231224234
63221533500
7564025125
oct202477614
971380720
1034242444
1118368945
12b574290
13712c002
14479504c
153015d99
hex20a7f8c

34242444 has 36 divisors (see below), whose sum is σ = 86748480. Its totient is φ = 11388960.

The previous prime is 34242443. The next prime is 34242449. The reversal of 34242444 is 44424243.

It is a happy number.

34242444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34242443) 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 11 ways as a sum of consecutive naturals, for example, 23077 + ... + 24515.

It is an arithmetic number, because the mean of its divisors is an integer number (2409680).

Almost surely, 234242444 is an apocalyptic number.

It is an amenable number.

34242444 is an abundant number, since it is smaller than the sum of its proper divisors (52506036).

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

34242444 is a wasteful number, since it uses less digits than its factorization.

34242444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2105 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 34242444 is about 5851.7043671054. The cubic root of 34242444 is about 324.7293810369.

Adding to 34242444 its reverse (44424243), we get a palindrome (78666687).

The spelling of 34242444 in words is "thirty-four million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 661 1322 1439 1983 2644 2878 3966 4317 5756 5949 7932 8634 11898 12951 17268 23796 25902 51804 951179 1902358 2853537 3804716 5707074 8560611 11414148 17121222 34242444