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34004434350 = 23521371654717
BaseRepresentation
bin11111101010110100…
…100111110110101110
310020202211100020121110
4133222310213312232
51024120113344400
623342121012450
72312442631365
oct375264476656
9106684306543
1034004434350
111346a686907
126710024126
13328bba9c93
1419081d47dc
15d40477e50
hex7ead27dae

34004434350 has 48 divisors (see below), whose sum is σ = 84946603248. Its totient is φ = 9001655040.

The previous prime is 34004434333. The next prime is 34004434351. The reversal of 34004434350 is 5343440043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004434351) 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 23 ways as a sum of consecutive naturals, for example, 806809 + ... + 847908.

It is an arithmetic number, because the mean of its divisors is an integer number (1769720901).

Almost surely, 234004434350 is an apocalyptic number.

34004434350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34004434350 is an abundant number, since it is smaller than the sum of its proper divisors (50942168898).

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

34004434350 is a wasteful number, since it uses less digits than its factorization.

34004434350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654869 (or 1654864 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 34004434350 its reverse (5343440043), we get a palindrome (39347874393).

The spelling of 34004434350 in words is "thirty-four billion, four million, four hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 137 150 274 411 685 822 1370 2055 3425 4110 6850 10275 20550 1654717 3309434 4964151 8273585 9928302 16547170 24820755 41367925 49641510 82735850 124103775 226696229 248207550 453392458 680088687 1133481145 1360177374 2266962290 3400443435 5667405725 6800886870 11334811450 17002217175 34004434350