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34122012324 = 2239473002641
BaseRepresentation
bin11111110001110101…
…001001011010100100
310021002000120211021020
4133301311021122210
51024340213343244
623401521051140
72315401214331
oct376165113244
9107060524236
1034122012324
111351aa93994
126743486ab0
1332aa36664a
141919a7d988
15d4a950d19
hex7f1d496a4

34122012324 has 24 divisors (see below), whose sum is σ = 79702129248. Its totient is φ = 11361989760.

The previous prime is 34122012307. The next prime is 34122012377. The reversal of 34122012324 is 42321022143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34122012294 and 34122012303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1489957 + ... + 1512684.

It is an arithmetic number, because the mean of its divisors is an integer number (3320922052).

Almost surely, 234122012324 is an apocalyptic number.

It is an amenable number.

34122012324 is an abundant number, since it is smaller than the sum of its proper divisors (45580116924).

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

34122012324 is a wasteful number, since it uses less digits than its factorization.

34122012324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003595 (or 3003593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34122012324 its reverse (42321022143), we get a palindrome (76443034467).

The spelling of 34122012324 in words is "thirty-four billion, one hundred twenty-two million, twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 947 1894 2841 3788 5682 11364 3002641 6005282 9007923 12010564 18015846 36031692 2843501027 5687002054 8530503081 11374004108 17061006162 34122012324