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18434772 = 22324011277
BaseRepresentation
bin100011001010…
…0101011010100
31021200120202100
41012110223110
514204403042
61455042100
7312456456
oct106245324
937616670
1018434772
11a451354
126210330
133a85b65
14263c2d6
15194224c
hex1194ad4

18434772 has 36 divisors (see below), whose sum is σ = 46751796. Its totient is φ = 6124800.

The previous prime is 18434723. The next prime is 18434791. The reversal of 18434772 is 27743481.

It is a happy number.

18434772 is a `hidden beast` number, since 184 + 3 + 477 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16112196 + 2322576 = 4014^2 + 1524^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 13798 + ... + 15074.

It is an arithmetic number, because the mean of its divisors is an integer number (1298661).

Almost surely, 218434772 is an apocalyptic number.

18434772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18434772 is an abundant number, since it is smaller than the sum of its proper divisors (28317024).

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

18434772 is a wasteful number, since it uses less digits than its factorization.

18434772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1683 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 18434772 is about 4293.5733369770. The cubic root of 18434772 is about 264.1674213519.

The spelling of 18434772 in words is "eighteen million, four hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1277 1604 2406 2554 3609 3831 4812 5108 7218 7662 11493 14436 15324 22986 45972 512077 1024154 1536231 2048308 3072462 4608693 6144924 9217386 18434772