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2123342040 = 233517694517
BaseRepresentation
bin111111010001111…
…1010000011011000
312110222102221200210
41332203322003120
513322033421130
6550410331120
7103422052401
oct17643720330
95428387623
102123342040
1199a631336
124b3129aa0
1327aba1511
141620049a8
15c66285b0
hex7e8fa0d8

2123342040 has 32 divisors (see below), whose sum is σ = 6370026480. Its totient is φ = 566224512.

The previous prime is 2123342029. The next prime is 2123342047. The reversal of 2123342040 is 402433212.

It is a junction number, because it is equal to n+sod(n) for n = 2123341998 and 2123342016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123342047) 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 7 ways as a sum of consecutive naturals, for example, 8847139 + ... + 8847378.

Almost surely, 22123342040 is an apocalyptic number.

2123342040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123342040 is an abundant number, since it is smaller than the sum of its proper divisors (4246684440).

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

2123342040 is a wasteful number, since it uses less digits than its factorization.

2123342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694531 (or 17694527 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2123342040 is about 46079.7356763252. The cubic root of 2123342040 is about 1285.3063489593.

Adding to 2123342040 its reverse (402433212), we get a palindrome (2525775252).

The spelling of 2123342040 in words is "two billion, one hundred twenty-three million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17694517 35389034 53083551 70778068 88472585 106167102 141556136 176945170 212334204 265417755 353890340 424668408 530835510 707780680 1061671020 2123342040