Search a number
-
+
1330429744 = 24753224129
BaseRepresentation
bin100111101001100…
…1011111100110000
310102201102211111201
41033103023330300
510211042222434
6340003420544
744653315630
oct11723137460
93381384451
101330429744
11622aa1616
12311684754
13182830747
14c89a26c0
157bc01614
hex4f4cbf30

1330429744 has 40 divisors (see below), whose sum is σ = 3001548960. Its totient is φ = 559423488.

The previous prime is 1330429739. The next prime is 1330429747. The reversal of 1330429744 is 4479240331.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1330429747) 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 7 ways as a sum of consecutive naturals, for example, 106129 + ... + 118000.

It is an arithmetic number, because the mean of its divisors is an integer number (75038724).

Almost surely, 21330429744 is an apocalyptic number.

1330429744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330429744 is an abundant number, since it is smaller than the sum of its proper divisors (1671119216).

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

1330429744 is a wasteful number, since it uses less digits than its factorization.

1330429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224197 (or 224191 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 1330429744 is about 36475.0564632873. The cubic root of 1330429744 is about 1099.8428822425.

The spelling of 1330429744 in words is "one billion, three hundred thirty million, four hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 224129 448258 896516 1568903 1793032 3137806 3586064 6275612 11878837 12551224 23757674 25102448 47515348 83151859 95030696 166303718 190061392 332607436 665214872 1330429744