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1344210444 = 223337437823
BaseRepresentation
bin101000000011111…
…0000011000001100
310110200100222002000
41100013300120030
510223104213234
6341215032300
745211412613
oct12007603014
93420328060
101344210444
1162a854225
1231620b690
131856470c5
14ca74c87a
157d024899
hex501f060c

1344210444 has 96 divisors (see below), whose sum is σ = 3662883840. Its totient is φ = 425767104.

The previous prime is 1344210443. The next prime is 1344210463. The reversal of 1344210444 is 4440124431.

1344210444 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 210 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1344210443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167917 + ... + 175739.

It is an arithmetic number, because the mean of its divisors is an integer number (38155040).

Almost surely, 21344210444 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 1344210444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831441920).

1344210444 is an abundant number, since it is smaller than the sum of its proper divisors (2318673396).

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

1344210444 is a wasteful number, since it uses less digits than its factorization.

1344210444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1344210444 is about 36663.4756126584. The cubic root of 1344210444 is about 1103.6272666575.

Adding to 1344210444 its reverse (4440124431), we get a palindrome (5784334875).

The spelling of 1344210444 in words is "one billion, three hundred forty-four million, two hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 43 54 74 86 108 111 129 148 172 222 258 333 387 444 516 666 774 999 1161 1332 1548 1591 1998 2322 3182 3996 4644 4773 6364 7823 9546 14319 15646 19092 23469 28638 31292 42957 46938 57276 70407 85914 93876 140814 171828 211221 281628 289451 336389 422442 578902 672778 844884 868353 1009167 1157804 1345556 1736706 2018334 2605059 3027501 3473412 4036668 5210118 6055002 7815177 9082503 10420236 12110004 12446393 15630354 18165006 24892786 31260708 36330012 37339179 49785572 74678358 112017537 149356716 224035074 336052611 448070148 672105222 1344210444