Search a number
-
+
1334310012 = 2232717872963
BaseRepresentation
bin100111110000111…
…1111010001111100
310102222201222020100
41033201333101330
510213040410022
6340222521100
745031306440
oct11741772174
93388658210
101334310012
11625201952
12312a36190
1318358b969
14c92d2820
157c21b1ac
hex4f87f47c

1334310012 has 72 divisors (see below), whose sum is σ = 3858132096. Its totient is φ = 380889504.

The previous prime is 1334310001. The next prime is 1334310031. The reversal of 1334310012 is 2100134331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448843 + ... + 451805.

It is an arithmetic number, because the mean of its divisors is an integer number (53585168).

Almost surely, 21334310012 is an apocalyptic number.

1334310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1334310012 is an abundant number, since it is smaller than the sum of its proper divisors (2523822084).

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

1334310012 is a wasteful number, since it uses less digits than its factorization.

1334310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1334310012 is about 36528.2084422436. The cubic root of 1334310012 is about 1100.9110941978.

Adding to 1334310012 its reverse (2100134331), we get a palindrome (3434444343).

The spelling of 1334310012 in words is "one billion, three hundred thirty-four million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1787 2963 3574 5361 5926 7148 8889 10722 11852 12509 16083 17778 20741 21444 25018 26667 32166 35556 37527 41482 50036 53334 62223 64332 75054 82964 106668 112581 124446 150108 186669 225162 248892 373338 450324 746676 5294881 10589762 15884643 21179524 31769286 37064167 47653929 63538572 74128334 95307858 111192501 148256668 190615716 222385002 333577503 444770004 667155006 1334310012