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11340768 = 253176949
BaseRepresentation
bin101011010000…
…101111100000
3210100011121110
4223100233200
510400401033
61043023320
7165252315
oct53205740
923304543
1011340768
11644653a
12396ab40
132470c1a
141712d0c
15ee0363
hexad0be0

11340768 has 48 divisors (see below), whose sum is σ = 31525200. Its totient is φ = 3557376.

The previous prime is 11340757. The next prime is 11340821. The reversal of 11340768 is 86704311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×113407682 = 257226037659648, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1843 + ... + 5106.

It is an arithmetic number, because the mean of its divisors is an integer number (656775).

Almost surely, 211340768 is an apocalyptic number.

It is an amenable number.

11340768 is an abundant number, since it is smaller than the sum of its proper divisors (20184432).

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

11340768 is a wasteful number, since it uses less digits than its factorization.

11340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11340768 is about 3367.6056776291. The cubic root of 11340768 is about 224.6712433310.

The spelling of 11340768 in words is "eleven million, three hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6949 13898 20847 27796 41694 55592 83388 111184 118133 166776 222368 236266 333552 354399 472532 667104 708798 945064 1417596 1890128 2835192 3780256 5670384 11340768