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1344214410 = 235711252901
BaseRepresentation
bin101000000011111…
…0001010110001010
310110200101011111220
41100013301112022
510223104330120
6341215102510
745211430310
oct12007612612
93420334456
101344214410
1162a857200
12316211a36
13185648b56
14ca7500b0
157d025b40
hex501f158a

1344214410 has 96 divisors (see below), whose sum is σ = 4052716416. Its totient is φ = 279312000.

The previous prime is 1344214379. The next prime is 1344214423. The reversal of 1344214410 is 144124431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041 + ... + 51860.

It is an arithmetic number, because the mean of its divisors is an integer number (42215796).

Almost surely, 21344214410 is an apocalyptic number.

1344214410 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 1344214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026358208).

1344214410 is an abundant number, since it is smaller than the sum of its proper divisors (2708502006).

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

1344214410 is a wasteful number, since it uses less digits than its factorization.

1344214410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52940 (or 52929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1344214410 is about 36663.5296991438. The cubic root of 1344214410 is about 1103.6283520484.

Adding to 1344214410 its reverse (144124431), we get a palindrome (1488338841).

It can be divided in two parts, 134421 and 4410, that added together give a palindrome (138831).

The spelling of 1344214410 in words is "one billion, three hundred forty-four million, two hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1694 1815 2310 2541 3630 4235 5082 8470 12705 25410 52901 105802 158703 264505 317406 370307 529010 581911 740614 793515 1110921 1163822 1587030 1745733 1851535 2221842 2909555 3491466 3703070 4073377 5554605 5819110 6401021 8146754 8728665 11109210 12220131 12802042 17457330 19203063 20366885 24440262 32005105 38406126 40733770 44807147 61100655 64010210 89614294 96015315 122201310 134421441 192030630 224035735 268842882 448071470 672107205 1344214410