Search a number
-
+
2344114440 = 2332522432903
BaseRepresentation
bin1000101110111000…
…0101100100001000
320001100212100111100
42023232011210020
514300043130230
61024334301400
7112042433613
oct21356054410
96040770440
102344114440
11aa3211968
12555057860
132b484c685
1418347317a
15dabd7660
hex8bb85908

2344114440 has 96 divisors (see below), whose sum is σ = 7624393920. Its totient is φ = 624603264.

The previous prime is 2344114429. The next prime is 2344114453. The reversal of 2344114440 is 444114432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806029 + ... + 808931.

It is an arithmetic number, because the mean of its divisors is an integer number (79420770).

Almost surely, 22344114440 is an apocalyptic number.

2344114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344114440 is an abundant number, since it is smaller than the sum of its proper divisors (5280279480).

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

2344114440 is a wasteful number, since it uses less digits than its factorization.

2344114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2344114440 is about 48416.0556014221. The cubic root of 2344114440 is about 1328.3920568503.

Adding to 2344114440 its reverse (444114432), we get a palindrome (2788228872).

The spelling of 2344114440 in words is "two billion, three hundred forty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2243 2903 4486 5806 6729 8709 8972 11215 11612 13458 14515 17418 17944 20187 22430 23224 26127 26916 29030 33645 34836 40374 43545 44860 52254 53832 58060 67290 69672 80748 87090 89720 100935 104508 116120 130635 134580 161496 174180 201870 209016 261270 269160 348360 403740 522540 807480 1045080 6511429 13022858 19534287 26045716 32557145 39068574 52091432 58602861 65114290 78137148 97671435 117205722 130228580 156274296 195342870 234411444 260457160 293014305 390685740 468822888 586028610 781371480 1172057220 2344114440