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14350000340 = 2251355192309
BaseRepresentation
bin11010101110101001…
…11010000011010100
31101001002001112210002
431113110322003110
5213342100002330
610331534150432
71015414663454
oct152724720324
941032045702
1014350000340
1160a4223715
122945952418
131478c95280
149a1b83d64
1558ec1be45
hex35753a0d4

14350000340 has 24 divisors (see below), whose sum is σ = 32453078280. Its totient is φ = 5298461568.

The previous prime is 14350000333. The next prime is 14350000361. The reversal of 14350000340 is 4300005341.

14350000340 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 835396 + 14349164944 = 914^2 + 119788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27595895 + ... + 27596414.

It is an arithmetic number, because the mean of its divisors is an integer number (1352211595).

Almost surely, 214350000340 is an apocalyptic number.

14350000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14350000340 is an abundant number, since it is smaller than the sum of its proper divisors (18103077940).

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

14350000340 is a wasteful number, since it uses less digits than its factorization.

14350000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55192331 (or 55192329 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 14350000340 its reverse (4300005341), we get a palindrome (18650005681).

The spelling of 14350000340 in words is "fourteen billion, three hundred fifty million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 55192309 110384618 220769236 275961545 551923090 717500017 1103846180 1435000034 2870000068 3587500085 7175000170 14350000340