Search a number
-
+
1329214744 = 2311132139643
BaseRepresentation
bin100111100111010…
…0011010100011000
310102122011002211201
41033032203110120
510210234332434
6335521403544
744640065434
oct11716432430
93378132751
101329214744
11622341790
123111995b4
131824c6700
14c87679c4
157ba61614
hex4f3a3518

1329214744 has 96 divisors (see below), whose sum is σ = 2969870400. Its totient is φ = 552839040.

The previous prime is 1329214721. The next prime is 1329214759. The reversal of 1329214744 is 4474129231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2066887 + ... + 2067529.

It is an arithmetic number, because the mean of its divisors is an integer number (30936150).

Almost surely, 21329214744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329214744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484935200).

1329214744 is an abundant number, since it is smaller than the sum of its proper divisors (1640655656).

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

1329214744 is a wasteful number, since it uses less digits than its factorization.

1329214744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 808 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 1329214744 is about 36458.3974414674. The cubic root of 1329214744 is about 1099.5079738907.

The spelling of 1329214744 in words is "one billion, three hundred twenty-nine million, two hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 139 143 169 278 286 338 556 572 643 676 1112 1144 1286 1352 1529 1807 1859 2572 3058 3614 3718 5144 6116 7073 7228 7436 8359 12232 14146 14456 14872 16718 19877 23491 28292 33436 39754 46982 56584 66872 79508 89377 91949 93964 108667 159016 178754 183898 187928 217334 258401 357508 367796 434668 516802 715016 735592 869336 983147 1033604 1161901 1195337 1966294 2067208 2323802 2390674 3932588 4647604 4781348 7865176 9295208 9562696 12780911 15104713 25561822 30209426 51123644 60418852 102247288 120837704 166151843 332303686 664607372 1329214744