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3238900 = 225272661
BaseRepresentation
bin1100010110101111110100
320002112221021
430112233310
51312121100
6153230524
736346600
oct14265764
96075837
103238900
111912485
121102444
13895312
14604500
1543ea1a
hex316bf4

3238900 has 54 divisors (see below), whose sum is σ = 8188278. Its totient is φ = 1108800.

The previous prime is 3238867. The next prime is 3238901. The reversal of 3238900 is 98323.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 2729104 = 714^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4570 + ... + 5230.

Almost surely, 23238900 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 3238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094139).

3238900 is an abundant number, since it is smaller than the sum of its proper divisors (4949378).

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

3238900 is a wasteful number, since it uses less digits than its factorization.

3238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3238900 is about 1799.6944185055. The cubic root of 3238900 is about 147.9559766799.

The spelling of 3238900 in words is "three million, two hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 661 700 980 1225 1322 2450 2644 3305 4627 4900 6610 9254 13220 16525 18508 23135 32389 33050 46270 64778 66100 92540 115675 129556 161945 231350 323890 462700 647780 809725 1619450 3238900