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34503430000 = 2454131961229
BaseRepresentation
bin100000001000100100…
…001000111101110000
310022001121021211221211
4200020210020331300
51031130334230000
623503424125504
72331012213244
oct401044107560
9108047254854
1034503430000
11136a6317706
12682b166894
13333b39cb90
1419545a8424
15d6e1937ba
hex808908f70

34503430000 has 400 divisors, whose sum is σ = 96669680800. Its totient is φ = 11819520000.

The previous prime is 34503429997. The next prime is 34503430009. The reversal of 34503430000 is 3430543.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34503430009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150669886 + ... + 150670114.

It is an arithmetic number, because the mean of its divisors is an integer number (241674202).

Almost surely, 234503430000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34503430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48334840400).

34503430000 is an abundant number, since it is smaller than the sum of its proper divisors (62166250800).

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

34503430000 is a wasteful number, since it uses less digits than its factorization.

34503430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 34503430000 its reverse (3430543), we get a palindrome (34506860543).

The spelling of 34503430000 in words is "thirty-four billion, five hundred three million, four hundred thirty thousand".