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2520340431 = 37220838231
BaseRepresentation
bin1001011000111001…
…0101011111001111
320111122110120002220
42112032111133033
520130201343211
61054031350423
7116312353200
oct22616253717
96448416086
102520340431
111083737084
125a4082413
133122017cb
1419ca275a7
15eb3e7806
hex963957cf

2520340431 has 24 divisors (see below), whose sum is σ = 3911451264. Its totient is φ = 1439328240.

The previous prime is 2520340421. The next prime is 2520340441. The reversal of 2520340431 is 1340430252.

It is an interprime number because it is at equal distance from previous prime (2520340421) and next prime (2520340441).

It is not a de Polignac number, because 2520340431 - 25 = 2520340399 is a prime.

It is a super-2 number, since 2×25203404312 = 12704231776266531522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520340411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302086 + ... + 310316.

It is an arithmetic number, because the mean of its divisors is an integer number (162977136).

Almost surely, 22520340431 is an apocalyptic number.

2520340431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2520340431 is a deficient number, since it is larger than the sum of its proper divisors (1391110833).

2520340431 is a wasteful number, since it uses less digits than its factorization.

2520340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2520340431 is about 50202.9922514585. The cubic root of 2520340431 is about 1360.8796988411.

Adding to 2520340431 its reverse (1340430252), we get a palindrome (3860770683).

The spelling of 2520340431 in words is "two billion, five hundred twenty million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 2083 6249 8231 14581 24693 43743 57617 102067 172851 306201 403319 1209957 17145173 51435519 120016211 360048633 840113477 2520340431