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34237653450 = 235271113228023
BaseRepresentation
bin11111111000101110…
…010010000111001010
310021101002012000001220
4133320232102013022
51030104314402300
623421211422510
72321304152430
oct377056220712
9107332160056
1034237653450
111357a298870
126776154a36
1332c82c5550
14192b182d50
15d55b94da0
hex7f8b921ca

34237653450 has 192 divisors, whose sum is σ = 114004703232. Its totient is φ = 6567033600.

The previous prime is 34237653391. The next prime is 34237653469. The reversal of 34237653450 is 5435673243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 36139 + ... + 264161.

It is an arithmetic number, because the mean of its divisors is an integer number (593774496).

Almost surely, 234237653450 is an apocalyptic number.

34237653450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34237653450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57002351616).

34237653450 is an abundant number, since it is smaller than the sum of its proper divisors (79767049782).

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

34237653450 is a wasteful number, since it uses less digits than its factorization.

34237653450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228069 (or 228064 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 34237653450 in words is "thirty-four billion, two hundred thirty-seven million, six hundred fifty-three thousand, four hundred fifty".