Search a number
-
+
1344505040 = 24526962477
BaseRepresentation
bin101000000100011…
…1000010011010000
310110200220221011222
41100020320103100
510223143130130
6341225224212
745214050524
oct12010702320
93420827158
101344505040
1162aa3559a
12316332068
1318571b218
14ca7c7d84
157d081ce5
hex502384d0

1344505040 has 40 divisors (see below), whose sum is σ = 3137645160. Its totient is φ = 535794176.

The previous prime is 1344505033. The next prime is 1344505049. The reversal of 1344505040 is 405054431.

It can be written as a sum of positive squares in 4 ways, for example, as 17505856 + 1326999184 = 4184^2 + 36428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344505049) 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, 9719 + ... + 52758.

It is an arithmetic number, because the mean of its divisors is an integer number (78441129).

Almost surely, 21344505040 is an apocalyptic number.

1344505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344505040 is an abundant number, since it is smaller than the sum of its proper divisors (1793140120).

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

1344505040 is a wasteful number, since it uses less digits than its factorization.

1344505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62759 (or 62753 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1344505040 is about 36667.4929603866. The cubic root of 1344505040 is about 1103.7078841013.

Adding to 1344505040 its reverse (405054431), we get a palindrome (1749559471).

The spelling of 1344505040 in words is "one billion, three hundred forty-four million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 10760 21520 62477 124954 249908 312385 499816 624770 999632 1249540 2499080 4998160 16806313 33612626 67225252 84031565 134450504 168063130 268901008 336126260 672252520 1344505040