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34260666 = 23112411151
BaseRepresentation
bin1000001010110…
…0011010111010
32101110121210120
42002230122322
532232320131
63222154110
7564132216
oct202543272
971417716
1034260666
1118380600
12b582936
1371373ab
14479b946
15301b496
hex20ac6ba

34260666 has 48 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 10120000.

The previous prime is 34260659. The next prime is 34260671. The reversal of 34260666 is 66606243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29191 + ... + 30341.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 234260666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34260666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

34260666 is an abundant number, since it is smaller than the sum of its proper divisors (42960198).

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

34260666 is a wasteful number, since it uses less digits than its factorization.

34260666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34260666 is about 5853.2611423035. The cubic root of 34260666 is about 324.7869720340.

The spelling of 34260666 in words is "thirty-four million, two hundred sixty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1151 1353 2302 2706 3453 4961 6906 9922 12661 14883 25322 29766 37983 47191 75966 94382 139271 141573 278542 283146 417813 519101 835626 1038202 1557303 3114606 5710111 11420222 17130333 34260666