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11330376 = 2333197157
BaseRepresentation
bin101011001110…
…001101001000
3210022122100120
4223032031020
510400033001
61042503240
7165210111
oct53161510
923278316
1011330376
116439752
123964b20
132469285
14170d208
15edc236
hexace348

11330376 has 64 divisors (see below), whose sum is σ = 29729280. Its totient is φ = 3594240.

The previous prime is 11330369. The next prime is 11330411. The reversal of 11330376 is 67303311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 72090 + ... + 72246.

It is an arithmetic number, because the mean of its divisors is an integer number (464520).

Almost surely, 211330376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864640).

11330376 is an abundant number, since it is smaller than the sum of its proper divisors (18398904).

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

11330376 is a wasteful number, since it uses less digits than its factorization.

11330376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 11330376 is about 3366.0623880136. The cubic root of 11330376 is about 224.6025972723.

Adding to 11330376 its reverse (67303311), we get a palindrome (78633687).

The spelling of 11330376 in words is "eleven million, three hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 97 124 157 186 194 248 291 314 372 388 471 582 628 744 776 942 1164 1256 1884 2328 3007 3768 4867 6014 9021 9734 12028 14601 15229 18042 19468 24056 29202 30458 36084 38936 45687 58404 60916 72168 91374 116808 121832 182748 365496 472099 944198 1416297 1888396 2832594 3776792 5665188 11330376