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34244114412 = 22331443207797
BaseRepresentation
bin11111111001000110…
…111011011111101100
310021101112100020211210
4133321012323133230
51030112443130122
623422002114420
72321413112154
oct377106733754
9107345306753
1034244114412
1113582a01002
12677834ba10
1332c97482c1
14192bd85764
15d5651e40c
hex7f91bb7ec

34244114412 has 48 divisors (see below), whose sum is σ = 82667031552. Its totient is φ = 11021499840.

The previous prime is 34244114389. The next prime is 34244114417. The reversal of 34244114412 is 21441144243.

It is a happy number.

It is a super-2 number, since 2×342441144122 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34244114412.

It is not an unprimeable number, because it can be changed into a prime (34244114417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60898 + ... + 268694.

It is an arithmetic number, because the mean of its divisors is an integer number (1722229824).

Almost surely, 234244114412 is an apocalyptic number.

It is an amenable number.

34244114412 is an abundant number, since it is smaller than the sum of its proper divisors (48422917140).

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

34244114412 is a wasteful number, since it uses less digits than its factorization.

34244114412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208278 (or 208276 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 34244114412 its reverse (21441144243), we get a palindrome (55685258655).

The spelling of 34244114412 in words is "thirty-four billion, two hundred forty-four million, one hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 443 886 1329 1772 2658 5316 13733 27466 41199 54932 82398 164796 207797 415594 623391 831188 1246782 2493564 6441707 12883414 19325121 25766828 38650242 77300484 92054071 184108142 276162213 368216284 552324426 1104648852 2853676201 5707352402 8561028603 11414704804 17122057206 34244114412