Search a number
-
+
11264346 = 234312243
BaseRepresentation
bin101010111110…
…000101011010
3210012021210000
4222332011122
510340424341
61041233430
7164513442
oct52760532
923167700
1011264346
1163a4085
123932876
1324451c2
1416d3122
15ec78b6
hexabe15a

11264346 has 40 divisors (see below), whose sum is σ = 26066304. Its totient is φ = 3632040.

The previous prime is 11264333. The next prime is 11264347. The reversal of 11264346 is 64346211.

11264346 is a `hidden beast` number, since 1 + 12 + 643 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11264347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3901 + ... + 6143.

Almost surely, 211264346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033152).

11264346 is an abundant number, since it is smaller than the sum of its proper divisors (14801958).

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

11264346 is a wasteful number, since it uses less digits than its factorization.

11264346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 11264346 is about 3356.2398603199. The cubic root of 11264346 is about 224.1654416600.

The spelling of 11264346 in words is "eleven million, two hundred sixty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2243 2511 4486 5022 6729 13458 20187 40374 60561 69533 121122 139066 181683 208599 363366 417198 625797 1251594 1877391 3754782 5632173 11264346