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34231311252 = 2232979802781
BaseRepresentation
bin11111111000010110…
…000101101110010100
310021100122020210012200
4133320112011232110
51030101203430002
623420423444500
72321166226155
oct377026055624
9107318223180
1034231311252
1113576756886
126773bb6730
1332c6bb4878
14192a3b192c
15d55340b1c
hex7f8585b94

34231311252 has 36 divisors (see below), whose sum is σ = 87421209876. Its totient is φ = 11292802560.

The previous prime is 34231311239. The next prime is 34231311293. The reversal of 34231311252 is 25211313243.

34231311252 is a `hidden beast` number, since 342 + 3 + 1 + 311 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25282908036 + 8948403216 = 159006^2 + 94596^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4897899 + ... + 4904882.

It is an arithmetic number, because the mean of its divisors is an integer number (2428366941).

Almost surely, 234231311252 is an apocalyptic number.

It is an amenable number.

34231311252 is an abundant number, since it is smaller than the sum of its proper divisors (53189898624).

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

34231311252 is a wasteful number, since it uses less digits than its factorization.

34231311252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802888 (or 9802883 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 34231311252 its reverse (25211313243), we get a palindrome (59442624495).

The spelling of 34231311252 in words is "thirty-four billion, two hundred thirty-one million, three hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 9802781 19605562 29408343 39211124 58816686 88225029 117633372 176450058 352900116 950869757 1901739514 2852609271 3803479028 5705218542 8557827813 11410437084 17115655626 34231311252