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1334014032 = 243134095227
BaseRepresentation
bin100111110000011…
…0111000001010000
310102222011221020010
41033200313001100
510213001422112
6340212314520
745025634511
oct11740670120
93388157203
101334014032
1162501a53a
12312912a40
131834b7020
14c9256a08
157c1ad63c
hex4f837050

1334014032 has 80 divisors (see below), whose sum is σ = 3721081280. Its totient is φ = 409383936.

The previous prime is 1334014027. The next prime is 1334014043. The reversal of 1334014032 is 2304104331.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 252603 + ... + 257829.

It is an arithmetic number, because the mean of its divisors is an integer number (46513516).

Almost surely, 21334014032 is an apocalyptic number.

1334014032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860540640).

1334014032 is an abundant number, since it is smaller than the sum of its proper divisors (2387067248).

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

1334014032 is a wasteful number, since it uses less digits than its factorization.

1334014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1334014032 is about 36524.1568280501. The cubic root of 1334014032 is about 1100.8296858896.

Adding to 1334014032 its reverse (2304104331), we get a palindrome (3638118363).

It can be divided in two parts, 13340 and 14032, that added together give a palindrome (27372).

The spelling of 1334014032 in words is "one billion, three hundred thirty-four million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 409 624 818 1227 1636 2454 3272 4908 5227 5317 6544 9816 10454 10634 15681 15951 19632 20908 21268 31362 31902 41816 42536 62724 63804 67951 83632 85072 125448 127608 135902 203853 250896 255216 271804 407706 543608 815412 1087216 1630824 2137843 3261648 4275686 6413529 8551372 12827058 17102744 25654116 27791959 34205488 51308232 55583918 83375877 102616464 111167836 166751754 222335672 333503508 444671344 667007016 1334014032