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3288852 = 2232731421
BaseRepresentation
bin1100100010111100010100
320012002110100
430202330110
51320220402
6154254100
736645330
oct14427424
96162410
103288852
111946a66
121127330
138b1c88
146187c0
1544e71c
hex322f14

3288852 has 72 divisors (see below), whose sum is σ = 9830912. Its totient is φ = 907200.

The previous prime is 3288847. The next prime is 3288889. The reversal of 3288852 is 2588823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7602 + ... + 8022.

Almost surely, 23288852 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 3288852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915456).

3288852 is an abundant number, since it is smaller than the sum of its proper divisors (6542060).

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

3288852 is a wasteful number, since it uses less digits than its factorization.

3288852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 464 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3288852 is about 1813.5192306673. The cubic root of 3288852 is about 148.7127176296.

It can be divided in two parts, 328 and 8852, that added together give a triangular number (9180 = T135).

The spelling of 3288852 in words is "three million, two hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 421 434 558 651 842 868 1116 1263 1302 1684 1953 2526 2604 2947 3789 3906 5052 5894 7578 7812 8841 11788 13051 15156 17682 26102 26523 35364 39153 52204 53046 78306 91357 106092 117459 156612 182714 234918 274071 365428 469836 548142 822213 1096284 1644426 3288852