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34197811220 = 22513737333461
BaseRepresentation
bin11111110110010110…
…010011000000010100
310021021022012210210202
4133312112103000110
51030014114424340
623413225440032
72320311412346
oct376626230024
9107238183722
1034197811220
1113559855801
126764940018
1332bcc85771
141925b71296
15d52424c15
hex7f6593014

34197811220 has 48 divisors (see below), whose sum is σ = 72535711248. Its totient is φ = 13542466560.

The previous prime is 34197811189. The next prime is 34197811229. The reversal of 34197811220 is 2211879143.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 925444 + 34196885776 = 962^2 + 184924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34197811229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005290 + ... + 1038750.

It is an arithmetic number, because the mean of its divisors is an integer number (1511160651).

Almost surely, 234197811220 is an apocalyptic number.

It is an amenable number.

34197811220 is an abundant number, since it is smaller than the sum of its proper divisors (38337900028).

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

34197811220 is a wasteful number, since it uses less digits than its factorization.

34197811220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33980 (or 33978 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 34197811220 in words is "thirty-four billion, one hundred ninety-seven million, eight hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 373 548 685 746 1370 1492 1865 2740 3730 7460 33461 51101 66922 102202 133844 167305 204404 255505 334610 511010 669220 1022020 4584157 9168314 12480953 18336628 22920785 24961906 45841570 49923812 62404765 91683140 124809530 249619060 1709890561 3419781122 6839562244 8549452805 17098905610 34197811220