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11341764 = 2232745007
BaseRepresentation
bin101011010000…
…111111000100
3210100012222100
4223100333010
510400414024
61043032100
7165255240
oct53207704
923305870
1011341764
116447265
12396b630
132471505
141713420
15ee07c9
hexad0fc4

11341764 has 36 divisors (see below), whose sum is σ = 32765824. Its totient is φ = 3240432.

The previous prime is 11341751. The next prime is 11341769. The reversal of 11341764 is 46714311.

11341764 = 1132 + 1142 + ... + 3282.

It is a happy number.

11341764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×113417642 = 257271221263392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11341769) 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, 22252 + ... + 22755.

Almost surely, 211341764 is an apocalyptic number.

11341764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11341764 is an abundant number, since it is smaller than the sum of its proper divisors (21424060).

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

11341764 is a wasteful number, since it uses less digits than its factorization.

11341764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45024 (or 45019 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11341764 is about 3367.7535539288. The cubic root of 11341764 is about 224.6778203696.

It can be divided in two parts, 1134 and 1764, that multiplied together give a cube (2000376 = 1263).

The spelling of 11341764 in words is "eleven million, three hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 45007 90014 135021 180028 270042 315049 405063 540084 630098 810126 945147 1260196 1620252 1890294 2835441 3780588 5670882 11341764