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16414314 = 2372311801
BaseRepresentation
bin111110100111…
…011001101010
31010212221012120
4332213121222
513200224224
61343452110
7256343100
oct76473152
933787176
1016414314
1192a1354
1255b7036
133529317
142273c70
151693779
hexfa766a

16414314 has 48 divisors (see below), whose sum is σ = 39442176. Its totient is φ = 4536000.

The previous prime is 16414313. The next prime is 16414337. The reversal of 16414314 is 41341461.

It is not an unprimeable number, because it can be changed into a prime (16414313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8214 + ... + 10014.

It is an arithmetic number, because the mean of its divisors is an integer number (821712).

Almost surely, 216414314 is an apocalyptic number.

16414314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16414314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721088).

16414314 is an abundant number, since it is smaller than the sum of its proper divisors (23027862).

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

16414314 is a wasteful number, since it uses less digits than its factorization.

16414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1844 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 16414314 is about 4051.4582559864. The cubic root of 16414314 is about 254.1407139794.

Adding to 16414314 its reverse (41341461), we get a palindrome (57755775).

The spelling of 16414314 in words is "sixteen million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 1801 3038 3602 4557 5403 9114 10806 12607 25214 37821 55831 75642 88249 111662 167493 176498 264747 334986 390817 529494 781634 1172451 2344902 2735719 5471438 8207157 16414314