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11434368 = 273112707
BaseRepresentation
bin101011100111…
…100110000000
3210111221000010
4223213212000
510411344433
61045024520
7166122231
oct53474600
923457003
1011434368
1164aa8a0
1239b5140
1324a46ca
141739088
15100ce63
hexae7980

11434368 has 64 divisors (see below), whose sum is σ = 33145920. Its totient is φ = 3463680.

The previous prime is 11434363. The next prime is 11434391. The reversal of 11434368 is 86343411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2871 + ... + 5577.

It is an arithmetic number, because the mean of its divisors is an integer number (517905).

Almost surely, 211434368 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 11434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572960).

11434368 is an abundant number, since it is smaller than the sum of its proper divisors (21711552).

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

11434368 is a wasteful number, since it uses less digits than its factorization.

11434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2723 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11434368 is about 3381.4742347089. The cubic root of 11434368 is about 225.2876518471.

Adding to 11434368 its reverse (86343411), we get a palindrome (97777779).

It can be divided in two parts, 114343 and 68, that added together give a palindrome (114411).

The spelling of 11434368 in words is "eleven million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2707 4224 5414 8121 10828 16242 21656 29777 32484 43312 59554 64968 86624 89331 119108 129936 173248 178662 238216 259872 346496 357324 476432 519744 714648 952864 1039488 1429296 1905728 2858592 3811456 5717184 11434368