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1344201441 = 311174158441
BaseRepresentation
bin101000000011110…
…1110001011100001
310110200100111201120
41100013232023201
510223103421231
6341214522453
745211344432
oct12007561341
93420314646
101344201441
1162a848490
12316206429
13185642c8b
14ca749489
157d021d96
hex501ee2e1

1344201441 has 32 divisors (see below), whose sum is σ = 2120743296. Its totient is φ = 748032000.

The previous prime is 1344201437. The next prime is 1344201491. The reversal of 1344201441 is 1441024431.

It is not a de Polignac number, because 1344201441 - 22 = 1344201437 is a prime.

It is a super-3 number, since 3×13442014413 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1344201491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6220 + ... + 52221.

It is an arithmetic number, because the mean of its divisors is an integer number (66273228).

Almost surely, 21344201441 is an apocalyptic number.

1344201441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344201441 is a deficient number, since it is larger than the sum of its proper divisors (776541855).

1344201441 is a wasteful number, since it uses less digits than its factorization.

1344201441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58513.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1344201441 is about 36663.3528335857. The cubic root of 1344201441 is about 1103.6248027629.

Adding to 1344201441 its reverse (1441024431), we get a palindrome (2785225872).

The spelling of 1344201441 in words is "one billion, three hundred forty-four million, two hundred one thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 41 51 123 187 451 561 697 1353 2091 7667 23001 58441 175323 642851 993497 1928553 2396081 2980491 7188243 10928467 26356891 32785401 40733377 79070673 122200131 448067147 1344201441