Search a number
-
+
34284666 = 23131273461
BaseRepresentation
bin1000001011001…
…0010001111010
32101111211201110
42002302101322
532234102131
63222501150
7564262203
oct202622172
971454643
1034284666
1118397639
12b5947b6
1371452b0
1447a65aa
153023646
hex20b247a

34284666 has 32 divisors (see below), whose sum is σ = 74446848. Its totient is φ = 10463040.

The previous prime is 34284659. The next prime is 34284703. The reversal of 34284666 is 66648243.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 8176 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (2326464).

Almost surely, 234284666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37223424).

34284666 is an abundant number, since it is smaller than the sum of its proper divisors (40162182).

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

34284666 is a wasteful number, since it uses less digits than its factorization.

34284666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606.

The product of its digits is 165888, while the sum is 39.

The square root of 34284666 is about 5855.3109225728. The cubic root of 34284666 is about 324.8627933651.

The spelling of 34284666 in words is "thirty-four million, two hundred eighty-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 3461 4953 6922 9906 10383 20766 44993 89986 134979 269958 439547 879094 1318641 2637282 5714111 11428222 17142333 34284666