Search a number
-
+
1344405114 = 234132392671
BaseRepresentation
bin101000000100001…
…1111111001111010
310110200201212010000
41100020133321322
510223131430424
6341223133430
745213153303
oct12010377172
93420655100
101344405114
1162a977508
123162a4276
131856b48b0
14ca79d7aa
157d0623c9
hex5021fe7a

1344405114 has 80 divisors (see below), whose sum is σ = 3258984960. Its totient is φ = 411778080.

The previous prime is 1344405103. The next prime is 1344405121. The reversal of 1344405114 is 4115044431.

1344405114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13444051142 = 3614850221098705992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 501999 + ... + 504669.

It is an arithmetic number, because the mean of its divisors is an integer number (40737312).

Almost surely, 21344405114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344405114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629492480).

1344405114 is an abundant number, since it is smaller than the sum of its proper divisors (1914579846).

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

1344405114 is a wasteful number, since it uses less digits than its factorization.

1344405114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1344405114 is about 36666.1303385018. The cubic root of 1344405114 is about 1103.6805402478.

Adding to 1344405114 its reverse (4115044431), we get a palindrome (5459449545).

The spelling of 1344405114 in words is "one billion, three hundred forty-four million, four hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 239 351 478 702 717 1053 1434 2106 2151 2671 3107 4302 5342 6214 6453 8013 9321 12906 16026 18642 19359 24039 27963 34723 38718 48078 55926 69446 72117 83889 104169 144234 167778 208338 216351 251667 312507 432702 503334 625014 638369 937521 1276738 1875042 1915107 2812563 3830214 5625126 5745321 8298797 11490642 16597594 17235963 24896391 34471926 49792782 51707889 74689173 103415778 149378346 224067519 448135038 672202557 1344405114