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2334997340 = 2251316753777
BaseRepresentation
bin1000101100101101…
…0011101101011100
320000201201011011222
42023023103231130
514240224403330
61023411032512
7111602102264
oct21313235534
96021634158
102334997340
11a99055075
12551b9b738
132b29a9940
1418217c7a4
15d9ed60e5
hex8b2d3b5c

2334997340 has 48 divisors (see below), whose sum is σ = 5312405952. Its totient is φ = 856974336.

The previous prime is 2334997339. The next prime is 2334997349. The reversal of 2334997340 is 437994332.

It is a junction number, because it is equal to n+sod(n) for n = 2334997291 and 2334997300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334997349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16532 + ... + 70308.

It is an arithmetic number, because the mean of its divisors is an integer number (110675124).

Almost surely, 22334997340 is an apocalyptic number.

2334997340 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 2334997340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656202976).

2334997340 is an abundant number, since it is smaller than the sum of its proper divisors (2977408612).

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

2334997340 is a wasteful number, since it uses less digits than its factorization.

2334997340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53966 (or 53964 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 44.

The square root of 2334997340 is about 48321.8101896028. The cubic root of 2334997340 is about 1326.6676218888.

The spelling of 2334997340 in words is "two billion, three hundred thirty-four million, nine hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 668 835 1670 2171 3340 4342 8684 10855 21710 43420 53777 107554 215108 268885 537770 699101 1075540 1398202 2796404 3495505 6991010 8980759 13982020 17961518 35923036 44903795 89807590 116749867 179615180 233499734 466999468 583749335 1167498670 2334997340