Search a number
-
+
1344343340 = 2251728114071
BaseRepresentation
bin101000000100001…
…0000110100101100
310110200121201101002
41100020100310230
510223122441330
6341221535432
745212505224
oct12010206454
93420551332
101344343340
1162a93505a
12316274578
13185692742
14ca785084
157d04de45
hex50210d2c

1344343340 has 48 divisors (see below), whose sum is σ = 3000037824. Its totient is φ = 504268800.

The previous prime is 1344343337. The next prime is 1344343349. The reversal of 1344343340 is 433434431.

It is not an unprimeable number, because it can be changed into a prime (1344343349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88505 + ... + 102575.

It is an arithmetic number, because the mean of its divisors is an integer number (62500788).

Almost surely, 21344343340 is an apocalyptic number.

1344343340 is a gapful number since it is divisible by the number (10) 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 1344343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500018912).

1344343340 is an abundant number, since it is smaller than the sum of its proper divisors (1655694484).

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

1344343340 is a wasteful number, since it uses less digits than its factorization.

1344343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14378 (or 14376 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

The square root of 1344343340 is about 36665.2879437759. The cubic root of 1344343340 is about 1103.6636356691.

Adding to 1344343340 its reverse (433434431), we get a palindrome (1777777771).

The spelling of 1344343340 in words is "one billion, three hundred forty-four million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 4777 5620 9554 14071 19108 23885 28142 47770 56284 70355 95540 140710 239207 281420 478414 956828 1196035 2392070 3953951 4784140 7907902 15815804 19769755 39539510 67217167 79079020 134434334 268868668 336085835 672171670 1344343340