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1344311130 = 2352313714221
BaseRepresentation
bin101000000100000…
…1000111101011010
310110200120002012010
41100020020331122
510223120424010
6341221130350
745212312301
oct12010107532
93420502163
101344311130
1162a912938
123162599b6
13185680b96
14ca777438
157d044620
hex50208f5a

1344311130 has 64 divisors (see below), whose sum is σ = 3391435008. Its totient is φ = 340369920.

The previous prime is 1344311119. The next prime is 1344311131. The reversal of 1344311130 is 311134431.

It is a junction number, because it is equal to n+sod(n) for n = 1344311097 and 1344311106.

It is not an unprimeable number, because it can be changed into a prime (1344311131) 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, 87420 + ... + 101640.

It is an arithmetic number, because the mean of its divisors is an integer number (52991172).

Almost surely, 21344311130 is an apocalyptic number.

1344311130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695717504).

1344311130 is an abundant number, since it is smaller than the sum of its proper divisors (2047123878).

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

1344311130 is a wasteful number, since it uses less digits than its factorization.

1344311130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1344311130 is about 36664.8486973559. The cubic root of 1344311130 is about 1103.6548211328.

Adding to 1344311130 its reverse (311134431), we get a palindrome (1655445561).

The spelling of 1344311130 in words is "one billion, three hundred forty-four million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 137 138 230 274 345 411 685 690 822 1370 2055 3151 4110 6302 9453 14221 15755 18906 28442 31510 42663 47265 71105 85326 94530 142210 213315 327083 426630 654166 981249 1635415 1948277 1962498 3270830 3896554 4906245 5844831 9741385 9812490 11689662 19482770 29224155 44810371 58448310 89620742 134431113 224051855 268862226 448103710 672155565 1344311130