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2556400341 = 311733110567
BaseRepresentation
bin1001100001011111…
…1001001011010101
320121011022121000010
42120113321023111
520213414302331
61101400310433
7120231021135
oct23027711325
96534277003
102556400341
1110a2026460
125b4172419
13319818b31
141a3732ac5
15ee66be46
hex985f92d5

2556400341 has 16 divisors (see below), whose sum is σ = 3719259648. Its totient is φ = 1548975600.

The previous prime is 2556400339. The next prime is 2556400349. The reversal of 2556400341 is 1430046552.

It is not a de Polignac number, because 2556400341 - 21 = 2556400339 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2556400299 and 2556400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556400349) 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, 236640 + ... + 247206.

It is an arithmetic number, because the mean of its divisors is an integer number (232453728).

Almost surely, 22556400341 is an apocalyptic number.

It is an amenable number.

2556400341 is a deficient number, since it is larger than the sum of its proper divisors (1162859307).

2556400341 is a wasteful number, since it uses less digits than its factorization.

2556400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17912.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2556400341 is about 50560.8577953341. The cubic root of 2556400341 is about 1367.3392763414.

Adding to 2556400341 its reverse (1430046552), we get a palindrome (3986446893).

The spelling of 2556400341 in words is "two billion, five hundred fifty-six million, four hundred thousand, three hundred forty-one".

Divisors: 1 3 11 33 7331 10567 21993 31701 80641 116237 241923 348711 77466677 232400031 852133447 2556400341