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1344501340 = 2257132332119
BaseRepresentation
bin101000000100011…
…0111011001011100
310110200220202002221
41100020313121130
510223143020330
6341225155124
745214033660
oct12010673134
93420822087
101344501340
1162aa32836
1231632baa4
13185719630
14ca7c68a0
157d080b7a
hex5023765c

1344501340 has 96 divisors (see below), whose sum is σ = 3626219520. Its totient is φ = 406999296.

The previous prime is 1344501299. The next prime is 1344501349. The reversal of 1344501340 is 431054431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344501349) 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, 25801 + ... + 57919.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 21344501340 is an apocalyptic number.

1344501340 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 1344501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813109760).

1344501340 is an abundant number, since it is smaller than the sum of its proper divisors (2281718180).

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

1344501340 is a wasteful number, since it uses less digits than its factorization.

1344501340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32171 (or 32169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1344501340 is about 36667.4425069434. The cubic root of 1344501340 is about 1103.7068716536.

Adding to 1344501340 its reverse (431054431), we get a palindrome (1775555771).

The spelling of 1344501340 in words is "one billion, three hundred forty-four million, five hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 20930 32119 41860 64238 128476 160595 224833 321190 417547 449666 642380 738737 835094 899332 1124165 1477474 1670188 2087735 2248330 2922829 2954948 3693685 4175470 4496660 5171159 5845658 7387370 8350940 9603581 10342318 11691316 14614145 14774740 19207162 20684636 25855795 29228290 38414324 48017905 51711590 58456580 67225067 96035810 103423180 134450134 192071620 268900268 336125335 672250670 1344501340