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11340315 = 3257237139
BaseRepresentation
bin101011010000…
…101000011011
3210100010222200
4223100220123
510400342230
61043021243
7165251100
oct53205033
923303880
1011340315
116446168
12396a823
13247095c
141712aa7
15ee0160
hexad0a1b

11340315 has 72 divisors (see below), whose sum is σ = 23652720. Its totient is φ = 5007744.

The previous prime is 11340299. The next prime is 11340349. The reversal of 11340315 is 51304311.

11340315 is a `hidden beast` number, since 11 + 340 + 315 = 666.

It is not a de Polignac number, because 11340315 - 24 = 11340299 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 81516 + ... + 81654.

It is an arithmetic number, because the mean of its divisors is an integer number (328510).

Almost surely, 211340315 is an apocalyptic number.

11340315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11340315 is an abundant number, since it is smaller than the sum of its proper divisors (12312405).

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

11340315 is a wasteful number, since it uses less digits than its factorization.

11340315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11340315 is about 3367.5384184891. The cubic root of 11340315 is about 224.6682518396.

Adding to 11340315 its reverse (51304311), we get a palindrome (62644626).

It can be divided in two parts, 11340 and 315, that multiplied together give a square (3572100 = 18902).

The spelling of 11340315 in words is "eleven million, three hundred forty thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 139 147 185 245 259 315 333 417 441 555 695 735 777 973 1251 1295 1665 1813 2085 2205 2331 2919 3885 4865 5143 5439 6255 6811 8757 9065 11655 14595 15429 16317 20433 25715 27195 34055 36001 43785 46287 61299 77145 81585 102165 108003 180005 231435 252007 306495 324009 540015 756021 1260035 1620045 2268063 3780105 11340315