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14340690 = 232571317103
BaseRepresentation
bin110110101101…
…001001010010
3222222120201200
4312231021102
512132400230
61231212030
7232615410
oct66551122
928876650
1014340690
118105411
124977016
132c81520
141c942b0
1513d4160

14340690 has 192 divisors, whose sum is σ = 49061376. Its totient is φ = 2820096.

The previous prime is 14340679. The next prime is 14340709. The reversal of 14340690 is 9604341.

14340690 = 1762 + 1772 + ... + 3642.

14340690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14340690 is a nontrivial binomial coefficient, being equal to C(5356, 2).

It is a super-2 number, since 2×143406902 = 411310779352200, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139179 + ... + 139281.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

It is a vampire number, since it can be written as 30904641 (with its own digits).

Almost surely, 214340690 is an apocalyptic number.

14340690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14340690 is the 5355-th triangular number and also the 2678-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688).

14340690 is an abundant number, since it is smaller than the sum of its proper divisors (34720686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14340690 is a wasteful number, since it uses less digits than its factorization.

14340690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14340690 is about 3786.9103501403. The cubic root of 14340690 is about 242.9536059374.

The spelling of 14340690 in words is "fourteen million, three hundred forty thousand, six hundred ninety".