Search a number
-
+
1335388964 = 2272131730829
BaseRepresentation
bin100111110011000…
…0110101100100100
310110001202210021112
41033212012230210
510213324421324
6340302004152
745043422200
oct11746065444
93401683245
101335388964
11625879548
12313276658
13183878ab0
14c94d3b00
157c380c0e
hex4f986b24

1335388964 has 72 divisors (see below), whose sum is σ = 3099894840. Its totient is φ = 497193984.

The previous prime is 1335388963. The next prime is 1335388969. The reversal of 1335388964 is 4698835331.

It can be written as a sum of positive squares in 4 ways, for example, as 384160000 + 951228964 = 19600^2 + 30842^2 .

It is not an unprimeable number, because it can be changed into a prime (1335388963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27902 + ... + 58730.

It is an arithmetic number, because the mean of its divisors is an integer number (43054095).

Almost surely, 21335388964 is an apocalyptic number.

1335388964 is a gapful number since it is divisible by the number (14) 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 1335388964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549947420).

1335388964 is an abundant number, since it is smaller than the sum of its proper divisors (1764505876).

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

1335388964 is a wasteful number, since it uses less digits than its factorization.

1335388964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30877 (or 30868 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 1335388964 is about 36542.9742084576. The cubic root of 1335388964 is about 1101.2077544421.

The spelling of 1335388964 in words is "one billion, three hundred thirty-five million, three hundred eighty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 6188 10829 21658 30829 43316 61658 123316 215803 400777 431606 524093 801554 863212 1048186 1510621 1603108 2096372 2805439 3021242 3668651 5610878 6042484 6813209 7337302 11221756 13626418 14674604 19638073 25680557 27252836 39276146 47692463 51361114 78552292 95384926 102722228 190769852 333847241 667694482 1335388964