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12340832 = 257371489
BaseRepresentation
bin101111000100…
…111001100000
3212012222102212
4233010321200
511124401312
61120301252
7206616050
oct57047140
925188385
1012340832
116a69939
124171828
13273118a
1418d3560
15113b822
hexbc4e60

12340832 has 48 divisors (see below), whose sum is σ = 28536480. Its totient is φ = 5142528.

The previous prime is 12340819. The next prime is 12340841. The reversal of 12340832 is 23804321.

It is a super-2 number, since 2×123408322 = 304592268904448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12340798 and 12340807.

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, 7544 + ... + 9032.

It is an arithmetic number, because the mean of its divisors is an integer number (594510).

Almost surely, 212340832 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 12340832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268240).

12340832 is an abundant number, since it is smaller than the sum of its proper divisors (16195648).

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

12340832 is a wasteful number, since it uses less digits than its factorization.

12340832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12340832 is about 3512.9520349700. The cubic root of 12340832 is about 231.0901742484.

The spelling of 12340832 in words is "twelve million, three hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1489 2072 2978 4144 5956 8288 10423 11912 20846 23824 41692 47648 55093 83384 110186 166768 220372 333536 385651 440744 771302 881488 1542604 1762976 3085208 6170416 12340832