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1364014344 = 2337117310111
BaseRepresentation
bin101000101001101…
…0011010100001000
310112001122002220210
41101103103110020
510243141424334
6343203321120
745541634130
oct12123232410
93461562823
101364014344
1163aa50190
123209801a0
1318978c1a4
14cd225ac0
157eb375e9
hex514d3508

1364014344 has 128 divisors (see below), whose sum is σ = 4310138880. Its totient is φ = 349401600.

The previous prime is 1364014343. The next prime is 1364014349. The reversal of 1364014344 is 4434104631.

It is not an unprimeable number, because it can be changed into a prime (1364014343) 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, 129849 + ... + 139959.

It is an arithmetic number, because the mean of its divisors is an integer number (33672960).

Almost surely, 21364014344 is an apocalyptic number.

1364014344 is a gapful number since it is divisible by the number (14) 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 1364014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155069440).

1364014344 is an abundant number, since it is smaller than the sum of its proper divisors (2946124536).

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

1364014344 is a wasteful number, since it uses less digits than its factorization.

1364014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1364014344 is about 36932.5648175157. The cubic root of 1364014344 is about 1109.0206831872.

Adding to 1364014344 its reverse (4434104631), we get a palindrome (5798118975).

The spelling of 1364014344 in words is "one billion, three hundred sixty-four million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 438 462 511 584 616 803 876 924 1022 1533 1606 1752 1848 2044 2409 3066 3212 4088 4818 5621 6132 6424 9636 10111 11242 12264 16863 19272 20222 22484 30333 33726 40444 44968 60666 67452 70777 80888 111221 121332 134904 141554 212331 222442 242664 283108 333663 424662 444884 566216 667326 738103 778547 849324 889768 1334652 1476206 1557094 1698648 2214309 2335641 2669304 2952412 3114188 4428618 4671282 5166721 5904824 6228376 8119133 8857236 9342564 10333442 15500163 16238266 17714472 18685128 20666884 24357399 31000326 32476532 41333768 48714798 56833931 62000652 64953064 97429596 113667862 124001304 170501793 194859192 227335724 341003586 454671448 682007172 1364014344