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32066034 = 237111319281
BaseRepresentation
bin111101001010…
…0100111110010
32020100010022220
41322110213302
531202103114
63103141510
7536361660
oct172244762
966303286
1032066034
1117111760
12a8a4896
1368494b0
144389c30
152c360a9
hex1e949f2

32066034 has 128 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 7257600.

The previous prime is 32066033. The next prime is 32066039. The reversal of 32066034 is 43066023.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32065995 and 32066013.

It is not an unprimeable number, because it can be changed into a prime (32066033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113974 + ... + 114254.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 232066034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32066034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480960).

32066034 is an abundant number, since it is smaller than the sum of its proper divisors (58895886).

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

32066034 is a wasteful number, since it uses less digits than its factorization.

32066034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 32066034 is about 5662.6878776779. The cubic root of 32066034 is about 317.6984404375.

The spelling of 32066034 in words is "thirty-two million, sixty-six thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 231 247 266 273 281 286 399 418 429 462 494 546 562 627 741 798 843 858 1001 1254 1463 1482 1686 1729 1967 2002 2717 2926 3003 3091 3458 3653 3934 4389 5187 5339 5434 5901 6006 6182 7306 8151 8778 9273 10374 10678 10959 11802 16017 16302 18546 19019 21637 21918 25571 32034 37373 38038 40183 43274 51142 57057 58729 64911 69407 74746 76713 80366 112119 114114 117458 120549 129822 138814 153426 176187 208221 224238 241098 281281 352374 411103 416442 485849 562562 763477 822206 843843 971698 1233309 1457547 1526954 1687686 2290431 2466618 2915094 4580862 5344339 10688678 16033017 32066034