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2334551040 = 210325291747
BaseRepresentation
bin1000101100100110…
…0110110000000000
320000200212110222100
42023021212300000
514240121113130
61023353310400
7111565233153
oct21311466000
96020773870
102334551040
11a9887a828
12551a05400
132b2881763
141820a3c9a
15d9e48c60
hex8b266c00

2334551040 has 264 divisors, whose sum is σ = 8372885040. Its totient is φ = 600735744.

The previous prime is 2334551017. The next prime is 2334551047. The reversal of 2334551040 is 401554332.

It is a junction number, because it is equal to n+sod(n) for n = 2334550995 and 2334551013.

It is not an unprimeable number, because it can be changed into a prime (2334551047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335447 + ... + 1337193.

Almost surely, 22334551040 is an apocalyptic number.

2334551040 is a gapful number since it is divisible by the number (20) 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 2334551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186442520).

2334551040 is an abundant number, since it is smaller than the sum of its proper divisors (6038334000).

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

2334551040 is a wasteful number, since it uses less digits than its factorization.

2334551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2334551040 is about 48317.1919713884. The cubic root of 2334551040 is about 1326.5830922440.

The spelling of 2334551040 in words is "two billion, three hundred thirty-four million, five hundred fifty-one thousand, forty".