[go: up one dir, main page]

Search a number
-
+
1344013152 = 25359323609
BaseRepresentation
bin101000000011100…
…0000001101100000
310110122222221102220
41100013000031200
510223031410102
6341210511040
745206631456
oct12007001540
93418887386
101344013152
1162a729a79
12316135480
131855a8371
14ca6da9d6
157ced61bc
hex501c0360

1344013152 has 48 divisors (see below), whose sum is σ = 3534133680. Its totient is φ = 447229952.

The previous prime is 1344013133. The next prime is 1344013159. The reversal of 1344013152 is 2513104431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344013159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45124 + ... + 68732.

It is an arithmetic number, because the mean of its divisors is an integer number (73627785).

Almost surely, 21344013152 is an apocalyptic number.

1344013152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344013152 is an abundant number, since it is smaller than the sum of its proper divisors (2190120528).

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

1344013152 is a wasteful number, since it uses less digits than its factorization.

1344013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24215 (or 24207 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1344013152 is about 36660.7849343137. The cubic root of 1344013152 is about 1103.5732702799.

Adding to 1344013152 its reverse (2513104431), we get a palindrome (3857117583).

The spelling of 1344013152 in words is "one billion, three hundred forty-four million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 593 1186 1779 2372 3558 4744 7116 9488 14232 18976 23609 28464 47218 56928 70827 94436 141654 188872 283308 377744 566616 755488 1133232 2266464 14000137 28000274 42000411 56000548 84000822 112001096 168001644 224002192 336003288 448004384 672006576 1344013152