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30529000350 = 232521729241571
BaseRepresentation
bin11100011011101010…
…111001001110011110
32220210121200220102200
4130123222321032132
51000010411002400
622005210232330
72130352135632
oct343352711636
986717626380
1030529000350
1111a46908902
125b001256a6
132b56b62164
1416987ccdc2
15bda2beb00
hex71bab939e

30529000350 has 288 divisors, whose sum is σ = 90371492640. Its totient is φ = 7354368000.

The previous prime is 30529000349. The next prime is 30529000361. The reversal of 30529000350 is 5300092503.

30529000350 is a `hidden beast` number, since 305 + 2 + 9 + 0 + 0 + 0 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53465565 + ... + 53466135.

It is an arithmetic number, because the mean of its divisors is an integer number (313789905).

Almost surely, 230529000350 is an apocalyptic number.

30529000350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 174725×174726.

It is a practical number, because each smaller number is the sum of distinct divisors of 30529000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45185746320).

30529000350 is an abundant number, since it is smaller than the sum of its proper divisors (59842492290).

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

30529000350 is a wasteful number, since it uses less digits than its factorization.

30529000350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 30529000350 its reverse (5300092503), we get a palindrome (35829092853).

The spelling of 30529000350 in words is "thirty billion, five hundred twenty-nine million, three hundred fifty", and thus it is an aban number.