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440263314 = 232171817949
BaseRepresentation
bin11010001111011…
…110001010010010
31010200102200201200
4122033132022102
51400201411224
6111404212030
713624114341
oct3217361222
91120380650
10440263314
11206576387
1210353a016
137029ac4a
1442685b58
15289b85c9
hex1a3de292

440263314 has 48 divisors (see below), whose sum is σ = 1015723800. Its totient is φ = 137341440.

The previous prime is 440263267. The next prime is 440263339. The reversal of 440263314 is 413362044.

It can be written as a sum of positive squares in 4 ways, for example, as 301612689 + 138650625 = 17367^2 + 11775^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51412 + ... + 59360.

Almost surely, 2440263314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440263314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507861900).

440263314 is an abundant number, since it is smaller than the sum of its proper divisors (575460486).

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

440263314 is a wasteful number, since it uses less digits than its factorization.

440263314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 440263314 is about 20982.4525258607. The cubic root of 440263314 is about 760.7421847185.

The spelling of 440263314 in words is "four hundred forty million, two hundred sixty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 1086 1629 3077 3258 6154 7949 9231 15898 18462 23847 27693 47694 55386 71541 135133 143082 270266 405399 810798 1216197 1438769 2432394 2877538 4316307 8632614 12948921 24459073 25897842 48918146 73377219 146754438 220131657 440263314