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3029094432 = 2532713412819
BaseRepresentation
bin1011010010001100…
…0101000000100000
321211002202221101200
42310203011000200
522200422010212
61220324001200
7135030610050
oct26443050040
97732687350
103029094432
111314932531
12706530200
13393730290
1420a41b560
1512adde6dc
hexb48c5020

3029094432 has 288 divisors, whose sum is σ = 10864264320. Its totient is φ = 779120640.

The previous prime is 3029094427. The next prime is 3029094433. The reversal of 3029094432 is 2344909203.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3029094433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073119 + ... + 1075937.

It is an arithmetic number, because the mean of its divisors is an integer number (37723140).

Almost surely, 23029094432 is an apocalyptic number.

3029094432 is a gapful number since it is divisible by the number (32) 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 3029094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432132160).

3029094432 is an abundant number, since it is smaller than the sum of its proper divisors (7835169888).

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

3029094432 is a wasteful number, since it uses less digits than its factorization.

3029094432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3029094432 is about 55037.2095222859. The cubic root of 3029094432 is about 1446.8969601831.

The spelling of 3029094432 in words is "three billion, twenty-nine million, ninety-four thousand, four hundred thirty-two".