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1345555431 = 3211371013637
BaseRepresentation
bin101000000110011…
…1000101111100111
310110202220022001100
41100030320233213
510223430233211
6341303531143
745226014063
oct12014705747
93422808040
101345555431
11630592790
12316759ab3
131859c835c
14ca9bcaa3
157d1dd156
hex50338be7

1345555431 has 48 divisors (see below), whose sum is σ = 2199738528. Its totient is φ = 785376000.

The previous prime is 1345555429. The next prime is 1345555459.

1345555431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1345555431 - 21 = 1345555429 is a prime.

It is a super-2 number, since 2×13455554312 = 3621038835787191522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345555411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368145 + ... + 371781.

It is an arithmetic number, because the mean of its divisors is an integer number (45827886).

Almost surely, 21345555431 is an apocalyptic number.

1345555431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1345555431 is a deficient number, since it is larger than the sum of its proper divisors (854183097).

1345555431 is a wasteful number, since it uses less digits than its factorization.

1345555431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3789 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 1345555431 is about 36681.8133548493. The cubic root of 1345555431 is about 1103.9952322376.

It can be divided in two parts, 13455 and 55431, that added together give a palindrome (68886).

The spelling of 1345555431 in words is "one billion, three hundred forty-five million, five hundred fifty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 101 111 303 333 407 909 1111 1221 3333 3637 3663 3737 9999 10911 11211 32733 33633 40007 41107 120021 123321 134569 360063 367337 369963 403707 1102011 1211121 1480259 3306033 4040707 4440777 12122121 13322331 13591469 36366363 40774407 122323221 149506159 448518477 1345555431