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3252384 = 253223491
BaseRepresentation
bin1100011010000010100000
320010020102200
430122002200
51313034014
6153413200
736434112
oct14320240
96106380
103252384
111921623
12110a200
1389b4b5
146093b2
15443a09
hex31a0a0

3252384 has 72 divisors (see below), whose sum is σ = 9670752. Its totient is φ = 1034880.

The previous prime is 3252377. The next prime is 3252397. The reversal of 3252384 is 4832523.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6379 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (134316).

Almost surely, 23252384 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 3252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835376).

3252384 is an abundant number, since it is smaller than the sum of its proper divisors (6418368).

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

3252384 is a wasteful number, since it uses less digits than its factorization.

3252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3252384 is about 1803.4367191560. The cubic root of 3252384 is about 148.1610129816.

The spelling of 3252384 in words is "three million, two hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 491 552 736 828 982 1104 1473 1656 1964 2208 2946 3312 3928 4419 5892 6624 7856 8838 11293 11784 15712 17676 22586 23568 33879 35352 45172 47136 67758 70704 90344 101637 135516 141408 180688 203274 271032 361376 406548 542064 813096 1084128 1626192 3252384