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34688967900 = 22352115629893
BaseRepresentation
bin100000010011100111…
…111010010011011100
310022112112102011002220
4200103213322103130
51032020333433100
623534052545340
72335424235126
oct402347722334
9108475364086
1034688967900
1113791022014
126881322250
13336a962612
1419710a4216
15d805e2aa0
hex8139fa4dc

34688967900 has 36 divisors (see below), whose sum is σ = 100366747992. Its totient is φ = 9250391360.

The previous prime is 34688967889. The next prime is 34688967917. The reversal of 34688967900 is 976988643.

34688967900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57814647 + ... + 57815246.

It is an arithmetic number, because the mean of its divisors is an integer number (2787965222).

Almost surely, 234688967900 is an apocalyptic number.

34688967900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34688967900 is an abundant number, since it is smaller than the sum of its proper divisors (65677780092).

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

34688967900 is a wasteful number, since it uses less digits than its factorization.

34688967900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115629910 (or 115629903 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 34688967900 in words is "thirty-four billion, six hundred eighty-eight million, nine hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 115629893 231259786 346889679 462519572 578149465 693779358 1156298930 1387558716 1734448395 2312597860 2890747325 3468896790 5781494650 6937793580 8672241975 11562989300 17344483950 34688967900