Search a number
-
+
2340031431 = 3192329611009
BaseRepresentation
bin1000101101111010…
…0000101111000111
320001002011220122210
42023132200233013
514243022001211
61024110554503
7111662640033
oct21336405707
96032156583
102340031431
11aa0983281
12553808a33
132b3a500aa
14182acd1c3
15da67c9a6
hex8b7a0bc7

2340031431 has 64 divisors (see below), whose sum is σ = 3606912000. Its totient is φ = 1341204480.

The previous prime is 2340031411. The next prime is 2340031433. The reversal of 2340031431 is 1341300432.

It is not a de Polignac number, because 2340031431 - 27 = 2340031303 is a prime.

It is a super-2 number, since 2×23400314312 = 10951494196135815522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2340031398 and 2340031407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340031433) 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 63 ways as a sum of consecutive naturals, for example, 2318655 + ... + 2319663.

It is an arithmetic number, because the mean of its divisors is an integer number (56358000).

Almost surely, 22340031431 is an apocalyptic number.

2340031431 is a deficient number, since it is larger than the sum of its proper divisors (1266880569).

2340031431 is a wasteful number, since it uses less digits than its factorization.

2340031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2340031431 is about 48373.8713666789. The cubic root of 2340031431 is about 1327.6203384300.

Adding to 2340031431 its reverse (1341300432), we get a palindrome (3681331863).

The spelling of 2340031431 in words is "two billion, three hundred forty million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 19 23 29 57 61 69 87 183 437 551 667 1009 1159 1311 1403 1653 1769 2001 3027 3477 4209 5307 12673 19171 23207 26657 29261 33611 38019 40687 57513 61549 69621 79971 87783 100833 122061 184647 440933 555959 673003 773053 1169431 1322799 1415627 1667877 1784921 2019009 2319159 3508293 4246881 5354763 12787057 26896913 33913499 38361171 41053183 80690739 101740497 123159549 780010477 2340031431