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34342033232 = 2413165105929
BaseRepresentation
bin11111111110111100…
…011101011101010000
310021122100121001012202
4133332330131131100
51030313030030412
623435420542332
72324012315603
oct377674353520
9107570531182
1034342033232
1113623200951
1267a50b19a8
133313b10730
14193ad9433a
15d5ee123c2
hex7fef1d750

34342033232 has 20 divisors (see below), whose sum is σ = 71655973620. Its totient is φ = 15850169088.

The previous prime is 34342033177. The next prime is 34342033237. The reversal of 34342033232 is 23233024343.

It can be written as a sum of positive squares in 2 ways, for example, as 14102987536 + 20239045696 = 118756^2 + 142264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34342033195 and 34342033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342033237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82552757 + ... + 82553172.

It is an arithmetic number, because the mean of its divisors is an integer number (3582798681).

Almost surely, 234342033232 is an apocalyptic number.

It is an amenable number.

34342033232 is an abundant number, since it is smaller than the sum of its proper divisors (37313940388).

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

34342033232 is a wasteful number, since it uses less digits than its factorization.

34342033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165105950 (or 165105944 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 34342033232 its reverse (23233024343), we get a palindrome (57575057575).

The spelling of 34342033232 in words is "thirty-four billion, three hundred forty-two million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 165105929 330211858 660423716 1320847432 2146377077 2641694864 4292754154 8585508308 17171016616 34342033232