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11434360 = 235797421
BaseRepresentation
bin101011100111…
…100101111000
3210111220222211
4223213211320
510411344420
61045024504
7166122220
oct53474570
923456884
1011434360
1164aa893
1239b5134
1324a46c2
141739080
15100ce5a
hexae7978

11434360 has 64 divisors (see below), whose sum is σ = 29776320. Its totient is φ = 3870720.

The previous prime is 11434343. The next prime is 11434361. The reversal of 11434360 is 6343411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26950 + ... + 27370.

It is an arithmetic number, because the mean of its divisors is an integer number (465255).

Almost surely, 211434360 is an apocalyptic number.

11434360 is a gapful number since it is divisible by the number (10) 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 11434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888160).

11434360 is an abundant number, since it is smaller than the sum of its proper divisors (18341960).

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

11434360 is a wasteful number, since it uses less digits than its factorization.

11434360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 11434360 is about 3381.4730517927. The cubic root of 11434360 is about 225.2875993066.

Adding to 11434360 its reverse (6343411), we get a palindrome (17777771).

The spelling of 11434360 in words is "eleven million, four hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 421 485 679 776 842 970 1358 1684 1940 2105 2716 2947 3368 3395 3880 4210 5432 5894 6790 8420 11788 13580 14735 16840 23576 27160 29470 40837 58940 81674 117880 163348 204185 285859 326696 408370 571718 816740 1143436 1429295 1633480 2286872 2858590 5717180 11434360