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2034024330 = 23513172971149
BaseRepresentation
bin111100100111100…
…1011111110001010
312020202101010211110
41321033023332022
513131202234310
6533500111150
7101255631042
oct17117137612
95222333743
102034024330
11954176648
124892354b6
1326552acc0
141541d4722
15bd883d20
hex793cbf8a

2034024330 has 256 divisors, whose sum is σ = 5878656000. Its totient is φ = 445562880.

The previous prime is 2034024269. The next prime is 2034024337. The reversal of 2034024330 is 334204302.

It is a junction number, because it is equal to n+sod(n) for n = 2034024297 and 2034024306.

It is not an unprimeable number, because it can be changed into a prime (2034024337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13651096 + ... + 13651244.

It is an arithmetic number, because the mean of its divisors is an integer number (22963500).

Almost surely, 22034024330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034024330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328000).

2034024330 is an abundant number, since it is smaller than the sum of its proper divisors (3844631670).

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

2034024330 is a wasteful number, since it uses less digits than its factorization.

2034024330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2034024330 is about 45100.1588688998. The cubic root of 2034024330 is about 1267.0255747332.

Adding to 2034024330 its reverse (334204302), we get a palindrome (2368228632).

The spelling of 2034024330 in words is "two billion, thirty-four million, twenty-four thousand, three hundred thirty".