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34631484700 = 22524773100937
BaseRepresentation
bin100000010000001100…
…101000010100011100
310022101112020200222111
4200100030220110130
51031411130002300
623524240523404
72334125522461
oct402014502434
9108345220874
1034631484700
111376163003a
126866020564
13335ba870a7
1419675bd668
15d7a53a9ba
hex81032851c

34631484700 has 72 divisors (see below), whose sum is σ = 77801395392. Its totient is φ = 13372001280.

The previous prime is 34631484697. The next prime is 34631484707. The reversal of 34631484700 is 748413643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34631484707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 292632 + ... + 393568.

It is an arithmetic number, because the mean of its divisors is an integer number (1080574936).

Almost surely, 234631484700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34631484700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38900697696).

34631484700 is an abundant number, since it is smaller than the sum of its proper divisors (43169910692).

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

34631484700 is a wasteful number, since it uses less digits than its factorization.

34631484700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101071 (or 101064 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 34631484700 in words is "thirty-four billion, six hundred thirty-one million, four hundred eighty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 73 94 100 146 188 235 292 365 470 730 940 1175 1460 1825 2350 3431 3650 4700 6862 7300 13724 17155 34310 68620 85775 100937 171550 201874 343100 403748 504685 1009370 2018740 2523425 4744039 5046850 7368401 9488078 10093700 14736802 18976156 23720195 29473604 36842005 47440390 73684010 94880780 118600975 147368020 184210025 237201950 346314847 368420050 474403900 692629694 736840100 1385259388 1731574235 3463148470 6926296940 8657871175 17315742350 34631484700