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1344032340 = 223574876571
BaseRepresentation
bin101000000011100…
…0100111001010100
310110200000220202120
41100013010321110
510223033013330
6341211135540
745210041430
oct12007047124
93420026676
101344032340
1162a742432
123161445b0
131855b4011
14ca7039c0
157cedbc10
hex501c4e54

1344032340 has 96 divisors (see below), whose sum is σ = 4310390784. Its totient is φ = 306529920.

The previous prime is 1344032323. The next prime is 1344032341. The reversal of 1344032340 is 432304431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344032340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344032341) 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, 201255 + ... + 207825.

It is an arithmetic number, because the mean of its divisors is an integer number (44899904).

Almost surely, 21344032340 is an apocalyptic number.

1344032340 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 1344032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155195392).

1344032340 is an abundant number, since it is smaller than the sum of its proper divisors (2966358444).

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

1344032340 is a wasteful number, since it uses less digits than its factorization.

1344032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7075 counting only the distinct ones).

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

The square root of 1344032340 is about 36661.0466299041. The cubic root of 1344032340 is about 1103.5785220299.

Adding to 1344032340 its reverse (432304431), we get a palindrome (1776336771).

The spelling of 1344032340 in words is "one billion, three hundred forty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 487 974 1461 1948 2435 2922 3409 4870 5844 6571 6818 7305 9740 10227 13142 13636 14610 17045 19713 20454 26284 29220 32855 34090 39426 40908 45997 51135 65710 68180 78852 91994 98565 102270 131420 137991 183988 197130 204540 229985 275982 394260 459970 551964 689955 919940 1379910 2759820 3200077 6400154 9600231 12800308 16000385 19200462 22400539 32000770 38400924 44801078 48001155 64001540 67201617 89602156 96002310 112002695 134403234 192004620 224005390 268806468 336008085 448010780 672016170 1344032340