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3238872 = 2337131483
BaseRepresentation
bin1100010110101111011000
320002112220020
430112233120
51312120442
6153230440
736346530
oct14265730
96075806
103238872
11191245a
121102420
138952c0
146044c0
1543e9ec
hex316bd8

3238872 has 64 divisors (see below), whose sum is σ = 9972480. Its totient is φ = 853632.

The previous prime is 3238867. The next prime is 3238901. The reversal of 3238872 is 2788323.

It is a happy number.

3238872 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

3238872 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (155820).

Almost surely, 23238872 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 3238872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986240).

3238872 is an abundant number, since it is smaller than the sum of its proper divisors (6733608).

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

3238872 is a wasteful number, since it uses less digits than its factorization.

3238872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3238872 is about 1799.6866393903. The cubic root of 3238872 is about 147.9555503233.

The spelling of 3238872 in words is "three million, two hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1483 2184 2966 4449 5932 8898 10381 11864 17796 19279 20762 31143 35592 38558 41524 57837 62286 77116 83048 115674 124572 134953 154232 231348 249144 269906 404859 462696 539812 809718 1079624 1619436 3238872