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14416340 = 22517109389
BaseRepresentation
bin110110111111…
…100111010100
31000010102111112
4312333213110
512142310330
61232554152
7233352101
oct66774724
930112445
1014416340
118157234
1249b2958
132ca9aa3
141cb3aa8
1513eb795
hexdbf9d4

14416340 has 48 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 5363712.

The previous prime is 14416327. The next prime is 14416349. The reversal of 14416340 is 4361441.

It can be written as a sum of positive squares in 8 ways, for example, as 21904 + 14394436 = 148^2 + 3794^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14416349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36866 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 214416340 is an apocalyptic number.

14416340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

14416340 is an abundant number, since it is smaller than the sum of its proper divisors (18016060).

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

14416340 is a wasteful number, since it uses less digits than its factorization.

14416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14416340 is about 3796.8855658289. The cubic root of 14416340 is about 243.3800665021.

Adding to 14416340 its reverse (4361441), we get a palindrome (18777781).

The spelling of 14416340 in words is "fourteen million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 389 436 545 778 1090 1556 1853 1945 2180 3706 3890 6613 7412 7780 9265 13226 18530 26452 33065 37060 42401 66130 84802 132260 169604 212005 424010 720817 848020 1441634 2883268 3604085 7208170 14416340