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3944448 = 21232107
BaseRepresentation
bin1111000011000000000000
321102101202200
433003000000
52002210243
6220313200
745345564
oct17030000
97371680
103944448
112254582
1213a2800
13a814c1
147496a4
1552dad3
hex3c3000

3944448 has 78 divisors (see below), whose sum is σ = 11500164. Its totient is φ = 1302528.

The previous prime is 3944441. The next prime is 3944449. The reversal of 3944448 is 8444493.

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

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3944441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36811 + ... + 36917.

It is an arithmetic number, because the mean of its divisors is an integer number (147438).

Almost surely, 23944448 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 3944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750082).

3944448 is an abundant number, since it is smaller than the sum of its proper divisors (7555716).

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

3944448 is a wasteful number, since it uses less digits than its factorization.

3944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3944448 is about 1986.0634430954. The cubic root of 3944448 is about 158.0018159274.

The spelling of 3944448 in words is "three million, nine hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4096 4608 5136 6144 6848 7704 9216 10272 12288 13696 15408 18432 20544 27392 30816 36864 41088 54784 61632 82176 109568 123264 164352 219136 246528 328704 438272 493056 657408 986112 1314816 1972224 3944448