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1345353345 = 325731311443
BaseRepresentation
bin101000000110000…
…0111011010000001
310110202112000211200
41100030013122001
510223402301340
6341255331413
745224212650
oct12014073201
93422460750
101345353345
11630464976
12316680b69
1318595738b
14ca969197
157d19d330
hex50307681

1345353345 has 96 divisors (see below), whose sum is σ = 2766127104. Its totient is φ = 591926400.

The previous prime is 1345353343. The next prime is 1345353379. The reversal of 1345353345 is 5433535431.

1345353345 is a `hidden beast` number, since 1 + 34 + 53 + 533 + 45 = 666.

It is not a de Polignac number, because 1345353345 - 21 = 1345353343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1345353343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3036694 + ... + 3037136.

It is an arithmetic number, because the mean of its divisors is an integer number (28813824).

Almost surely, 21345353345 is an apocalyptic number.

1345353345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1345353345 is an abundant number, since it is smaller than the sum of its proper divisors (1420773759).

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

1345353345 is a wasteful number, since it uses less digits than its factorization.

1345353345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 1345353345 is about 36679.0586711273. The cubic root of 1345353345 is about 1103.9399606015.

Adding to 1345353345 its reverse (5433535431), we get a palindrome (6778888776).

The spelling of 1345353345 in words is "one billion, three hundred forty-five million, three hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 311 315 443 465 651 933 1085 1329 1395 1555 1953 2177 2215 2799 3101 3255 3987 4665 6531 6645 9303 9641 9765 10885 13733 13995 15505 19593 19935 27909 28923 32655 41199 46515 48205 67487 68665 86769 96131 97965 123597 137773 139545 144615 202461 205995 288393 337435 413319 433845 480655 607383 617985 688865 865179 964411 1012305 1239957 1441965 2066595 2893233 3036915 4270963 4325895 4822055 6199785 8679699 12812889 14466165 21354815 29896741 38438667 43398495 64064445 89690223 149483705 192193335 269070669 448451115 1345353345