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30232334400 = 2635234918047
BaseRepresentation
bin11100001001111111…
…001101000001000000
32220000221110201020220
4130021333031001000
5443403434200100
621515531503040
72120120413422
oct341177150100
986027421226
1030232334400
1111904401334
125a388b7a80
132b0a560a88
14166b246812
15bbe21daa0
hex709fcd040

30232334400 has 168 divisors, whose sum is σ = 99476966400. Its totient is φ = 8038410240.

The previous prime is 30232334351. The next prime is 30232334413. The reversal of 30232334400 is 443323203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666177 + ... + 1684223.

It is an arithmetic number, because the mean of its divisors is an integer number (592124800).

Almost surely, 230232334400 is an apocalyptic number.

30232334400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30232334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49738483200).

30232334400 is an abundant number, since it is smaller than the sum of its proper divisors (69244632000).

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

30232334400 is a wasteful number, since it uses less digits than its factorization.

30232334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421 (or 18406 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 30232334400 its reverse (443323203), we get a palindrome (30675657603).

The spelling of 30232334400 in words is "thirty billion, two hundred thirty-two million, three hundred thirty-four thousand, four hundred".