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1144341330 = 23511103131257
BaseRepresentation
bin100010000110101…
…0100001101010010
32221202021120012020
41010031110031102
54320422410310
6305315112310
740233512046
oct10415241522
92852246166
101144341330
11537a50640
1227b2a2696
13153107562
14abda2026
156a6e4170
hex44354352

1144341330 has 128 divisors (see below), whose sum is σ = 3060135936. Its totient is φ = 271564800.

The previous prime is 1144341323. The next prime is 1144341389. The reversal of 1144341330 is 331434411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144341330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4452562 + ... + 4452818.

It is an arithmetic number, because the mean of its divisors is an integer number (23907312).

Almost surely, 21144341330 is an apocalyptic number.

1144341330 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 1144341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530067968).

1144341330 is an abundant number, since it is smaller than the sum of its proper divisors (1915794606).

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

1144341330 is a wasteful number, since it uses less digits than its factorization.

1144341330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1144341330 is about 33828.1144907605. The cubic root of 1144341330 is about 1045.9683125766.

Adding to 1144341330 its reverse (331434411), we get a palindrome (1475775741).

The spelling of 1144341330 in words is "one billion, one hundred forty-four million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 131 165 206 257 262 309 330 393 514 515 618 655 771 786 1030 1133 1285 1310 1441 1542 1545 1965 2266 2570 2827 2882 3090 3399 3855 3930 4323 5654 5665 6798 7205 7710 8481 8646 11330 13493 14135 14410 16962 16995 21615 26471 26986 28270 33667 33990 40479 42405 43230 52942 67334 67465 79413 80958 84810 101001 132355 134930 148423 158826 168335 202002 202395 264710 291181 296846 336670 370337 397065 404790 445269 505005 582362 740674 742115 794130 873543 890538 1010010 1111011 1455905 1484230 1747086 1851685 2222022 2226345 2911810 3467701 3703370 4367715 4452690 5555055 6935402 8735430 10403103 11110110 17338505 20806206 34677010 38144711 52015515 76289422 104031030 114434133 190723555 228868266 381447110 572170665 1144341330