Search a number
-
+
33968466 = 23272192027
BaseRepresentation
bin1000000110010…
…1000101010010
32100220202222100
42001211011102
532143442331
63212021230
7561504300
oct201450522
970822870
1033968466
11181a1014
12b461816
1370643ac
144723270
152eaeae6
hex2065152

33968466 has 72 divisors (see below), whose sum is σ = 90164880. Its totient is φ = 9189936.

The previous prime is 33968449. The next prime is 33968471. The reversal of 33968466 is 66486933.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15745 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (1252290).

Almost surely, 233968466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33968466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45082440).

33968466 is an abundant number, since it is smaller than the sum of its proper divisors (56196414).

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

33968466 is a wasteful number, since it uses less digits than its factorization.

33968466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 33968466 is about 5828.2472493881. The cubic root of 33968466 is about 323.8609943261.

The spelling of 33968466 in words is "thirty-three million, nine hundred sixty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2027 2394 2793 4054 5586 6081 8379 12162 14189 16758 18243 28378 36486 38513 42567 77026 85134 99323 115539 127701 198646 231078 255402 269591 297969 346617 539182 595938 693234 808773 893907 1617546 1787814 1887137 2426319 3774274 4852638 5661411 11322822 16984233 33968466