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34134203032 = 23172315796911
BaseRepresentation
bin11111110010100011…
…101001101010011000
310021002212112011202221
4133302203221222120
51024401323444112
623403034233424
72315606636626
oct376243515230
9107085464687
1034134203032
111352695aa56
126747585874
1332aca44397
14191b534516
15d4ba5ce07
hex7f28e9a98

34134203032 has 64 divisors (see below), whose sum is σ = 70767820800. Its totient is φ = 15352803840.

The previous prime is 34134203029. The next prime is 34134203041. The reversal of 34134203032 is 23030243143.

It is a junction number, because it is equal to n+sod(n) for n = 34134202988 and 34134203006.

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 15 ways as a sum of consecutive naturals, for example, 4935657 + ... + 4942567.

It is an arithmetic number, because the mean of its divisors is an integer number (1105747200).

Almost surely, 234134203032 is an apocalyptic number.

It is an amenable number.

34134203032 is an abundant number, since it is smaller than the sum of its proper divisors (36633617768).

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

34134203032 is a wasteful number, since it uses less digits than its factorization.

34134203032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34134203032 its reverse (23030243143), we get a palindrome (57164446175).

The spelling of 34134203032 in words is "thirty-four billion, one hundred thirty-four million, two hundred three thousand, thirty-two".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 1579 3128 3158 6316 6911 12632 13822 26843 27644 36317 53686 55288 72634 107372 117487 145268 158953 214744 234974 290536 317906 469948 617389 635812 939896 1234778 1271624 2469556 2702201 4939112 5404402 10808804 10912469 21617608 21824938 43649876 87299752 185511973 250986787 371023946 501973574 742047892 1003947148 1484095784 2007894296 4266775379 8533550758 17067101516 34134203032