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2540340405 = 325291946621
BaseRepresentation
bin1001011101101010…
…1000010010110101
320120001002122220200
42113122220102311
520200311343110
61100024151113
7116644352151
oct22732502265
96501078820
102540340405
111093a57389
125aa908499
133163b4c05
141a1552061
15ed0486c0
hex976a84b5

2540340405 has 24 divisors (see below), whose sum is σ = 4555095480. Its totient is φ = 1308128640.

The previous prime is 2540340389. The next prime is 2540340427. The reversal of 2540340405 is 5040430452.

2540340405 is a `hidden beast` number, since 254 + 0 + 3 + 4 + 0 + 405 = 666.

2540340405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77898276 + 2462442129 = 8826^2 + 49623^2 .

It is not a de Polignac number, because 2540340405 - 24 = 2540340389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972006 + ... + 974615.

It is an arithmetic number, because the mean of its divisors is an integer number (189795645).

Almost surely, 22540340405 is an apocalyptic number.

It is an amenable number.

2540340405 is a deficient number, since it is larger than the sum of its proper divisors (2014755075).

2540340405 is a wasteful number, since it uses less digits than its factorization.

2540340405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946661 (or 1946658 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2540340405 is about 50401.7897003668. The cubic root of 2540340405 is about 1364.4699386990.

Adding to 2540340405 its reverse (5040430452), we get a palindrome (7580770857).

The spelling of 2540340405 in words is "two billion, five hundred forty million, three hundred forty thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 1946621 5839863 9733105 17519589 29199315 56452009 87597945 169356027 282260045 508068081 846780135 2540340405