Search a number
-
+
1334240442 = 2322310929567
BaseRepresentation
bin100111110000110…
…1110010010111010
310102222121102210200
41033201232102322
510213031143232
6340221223030
745030566553
oct11741562272
93388542720
101334240442
11625164657
12312a01a76
131835660b2
14c92b532a
157c20577c
hex4f86e4ba

1334240442 has 48 divisors (see below), whose sum is σ = 3044321280. Its totient is φ = 421492896.

The previous prime is 1334240431. The next prime is 1334240447. The reversal of 1334240442 is 2440424331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1334240447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30343 + ... + 59909.

It is an arithmetic number, because the mean of its divisors is an integer number (63423360).

Almost surely, 21334240442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334240442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522160640).

1334240442 is an abundant number, since it is smaller than the sum of its proper divisors (1710080838).

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

1334240442 is a wasteful number, since it uses less digits than its factorization.

1334240442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29707 (or 29704 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1334240442 is about 36527.2561520846. The cubic root of 1334240442 is about 1100.8919602846.

Adding to 1334240442 its reverse (2440424331), we get a palindrome (3774664773).

The spelling of 1334240442 in words is "one billion, three hundred thirty-four million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 109 138 207 218 327 414 654 981 1962 2507 5014 7521 15042 22563 29567 45126 59134 88701 177402 266103 532206 680041 1360082 2040123 3222803 4080246 6120369 6445606 9668409 12240738 19336818 29005227 58010454 74124469 148248938 222373407 444746814 667120221 1334240442