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34431343000 = 235334431343
BaseRepresentation
bin100000000100010001…
…001001100110011000
310021212120122110011221
4200010101021212120
51031003410434000
623452331101424
72326145405125
oct400421114630
9107776573157
1034431343000
111366966067a
12680aba1874
133329480452
141948ba174c
15d67ba461a
hex804449998

34431343000 has 32 divisors (see below), whose sum is σ = 80569344960. Its totient is φ = 13772536800.

The previous prime is 34431342971. The next prime is 34431343007. The reversal of 34431343000 is 34313443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431343007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17214672 + ... + 17216671.

It is an arithmetic number, because the mean of its divisors is an integer number (2517792030).

Almost surely, 234431343000 is an apocalyptic number.

It is an amenable number.

34431343000 is an abundant number, since it is smaller than the sum of its proper divisors (46138001960).

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

34431343000 is a wasteful number, since it uses less digits than its factorization.

34431343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34431364 (or 34431350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34431343000 its reverse (34313443), we get a palindrome (34465656443).

The spelling of 34431343000 in words is "thirty-four billion, four hundred thirty-one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 34431343 68862686 137725372 172156715 275450744 344313430 688626860 860783575 1377253720 1721567150 3443134300 4303917875 6886268600 8607835750 17215671500 34431343000