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2334340140 = 2235114383991
BaseRepresentation
bin1000101100100011…
…0011010000101100
320000200110202200020
42023020303100230
514240042341030
61023345002140
7111563364246
oct21310632054
96020422606
102334340140
11a98746330
12551923350
132b2809772
1418204b096
15d9e06510
hex8b23342c

2334340140 has 192 divisors, whose sum is σ = 7391526912. Its totient is φ = 545529600.

The previous prime is 2334340121. The next prime is 2334340147. The reversal of 2334340140 is 410434332.

2334340140 = T4552 + T4553 + ... + T4766.

It is a self number, because there is not a number n which added to its sum of digits gives 2334340140.

It is not an unprimeable number, because it can be changed into a prime (2334340147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355045 + ... + 2356035.

It is an arithmetic number, because the mean of its divisors is an integer number (38497536).

Almost surely, 22334340140 is an apocalyptic number.

2334340140 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 2334340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695763456).

2334340140 is an abundant number, since it is smaller than the sum of its proper divisors (5057186772).

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

2334340140 is a wasteful number, since it uses less digits than its factorization.

2334340140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2334340140 is about 48315.0094691080. The cubic root of 2334340140 is about 1326.5431438350.

Adding to 2334340140 its reverse (410434332), we get a palindrome (2744774472).

The spelling of 2334340140 in words is "two billion, three hundred thirty-four million, three hundred forty thousand, one hundred forty".