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34442124 = 22319914423
BaseRepresentation
bin1000001101100…
…0101110001100
32101210211201020
42003120232030
532304121444
63230114140
7565516233
oct203305614
971724636
1034442124
1118494972
12b64b950
13719bb72
144807b1a
153055119
hex20d8b8c

34442124 has 24 divisors (see below), whose sum is σ = 80774400. Its totient is φ = 11422224.

The previous prime is 34442113. The next prime is 34442131. The reversal of 34442124 is 42124443.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34442094 and 34442103.

It is an unprimeable number.

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, 4824 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (3365600).

Almost surely, 234442124 is an apocalyptic number.

It is an amenable number.

34442124 is an abundant number, since it is smaller than the sum of its proper divisors (46332276).

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

34442124 is a wasteful number, since it uses less digits than its factorization.

34442124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14627 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34442124 is about 5868.7412619743. The cubic root of 34442124 is about 325.3593626528.

Adding to 34442124 its reverse (42124443), we get a palindrome (76566567).

The spelling of 34442124 in words is "thirty-four million, four hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 199 398 597 796 1194 2388 14423 28846 43269 57692 86538 173076 2870177 5740354 8610531 11480708 17221062 34442124