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14631345 = 325541601
BaseRepresentation
bin110111110100…
…000110110001
31000112100102200
4313310012301
512221200340
61241333413
7235235661
oct67640661
930470380
1014631345
118293823
124a97269
133053901
141d2c1a1
151440330
hexdf41b1

14631345 has 24 divisors (see below), whose sum is σ = 25450152. Its totient is φ = 7776000.

The previous prime is 14631343. The next prime is 14631359. The reversal of 14631345 is 54313641.

14631345 is a nontrivial binomial coefficient, being equal to C(5410, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 2852721 + 11778624 = 1689^2 + 3432^2 .

It is not a de Polignac number, because 14631345 - 21 = 14631343 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14631343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24045 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (1060423).

Almost surely, 214631345 is an apocalyptic number.

14631345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14631345 is the 5409-th triangular number and also the 2705-th hexagonal number.

It is an amenable number.

14631345 is a deficient number, since it is larger than the sum of its proper divisors (10818807).

14631345 is a wasteful number, since it uses less digits than its factorization.

14631345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 14631345 is about 3825.0941164892. The cubic root of 14631345 is about 244.5840227111.

Adding to 14631345 its reverse (54313641), we get a palindrome (68944986).

The spelling of 14631345 in words is "fourteen million, six hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 541 601 1623 1803 2705 3005 4869 5409 8115 9015 24345 27045 325141 975423 1625705 2926269 4877115 14631345