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1344233040 = 243513740883
BaseRepresentation
bin101000000011111…
…0101111001010000
310110200102010001220
41100013311321100
510223110424130
6341215325040
745211535523
oct12007657120
93420363056
101344233040
1162a86a1a7
12316220780
13185654487
14ca756bba
157d02b410
hex501f5e50

1344233040 has 80 divisors (see below), whose sum is σ = 4197642048. Its totient is φ = 355836928.

The previous prime is 1344233039. The next prime is 1344233063. The reversal of 1344233040 is 403324431.

1344233040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1344233040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12439 + ... + 53321.

Almost surely, 21344233040 is an apocalyptic number.

1344233040 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 1344233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098821024).

1344233040 is an abundant number, since it is smaller than the sum of its proper divisors (2853409008).

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

1344233040 is a wasteful number, since it uses less digits than its factorization.

1344233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41036 (or 41030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1344233040 is about 36663.7837654544. The cubic root of 1344233040 is about 1103.6334505657.

Adding to 1344233040 its reverse (403324431), we get a palindrome (1747557471).

The spelling of 1344233040 in words is "one billion, three hundred forty-four million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 40883 81766 122649 163532 204415 245298 327064 408830 490596 613245 654128 817660 981192 1226490 1635320 1962384 2452980 3270640 4905960 5600971 9811920 11201942 16802913 22403884 28004855 33605826 44807768 56009710 67211652 84014565 89615536 112019420 134423304 168029130 224038840 268846608 336058260 448077680 672116520 1344233040