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11434864 = 247232193
BaseRepresentation
bin101011100111…
…101101110000
3210111221200111
4223213231300
510411403424
61045031104
7166123540
oct53475560
923457614
1011434864
116500201
1239b5494
1324a49bc
141739320
15100d194
hexae7b70

11434864 has 60 divisors (see below), whose sum is σ = 26605936. Its totient is φ = 4663296.

The previous prime is 11434853. The next prime is 11434867. The reversal of 11434864 is 46843411.

It is a super-2 number, since 2×114348642 = 261512229396992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59152 + ... + 59344.

Almost surely, 211434864 is an apocalyptic number.

11434864 is a gapful number since it is divisible by the number (14) 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 11434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302968).

11434864 is an abundant number, since it is smaller than the sum of its proper divisors (15171072).

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

11434864 is a wasteful number, since it uses less digits than its factorization.

11434864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 11434864 is about 3381.5475747060. The cubic root of 11434864 is about 225.2909093092.

The spelling of 11434864 in words is "eleven million, four hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 193 322 368 386 529 644 772 1058 1288 1351 1544 2116 2576 2702 3088 3703 4232 4439 5404 7406 8464 8878 10808 14812 17756 21616 29624 31073 35512 59248 62146 71024 102097 124292 204194 248584 408388 497168 714679 816776 1429358 1633552 2858716 5717432 11434864