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3944480 = 25589277
BaseRepresentation
bin1111000011000000100000
321102101210212
433003000200
52002210410
6220313252
745345641
oct17030040
97371725
103944480
112254601
1213a2828
13a81517
147496c8
1552db05
hex3c3020

3944480 has 48 divisors (see below), whose sum is σ = 9457560. Its totient is φ = 1554432.

The previous prime is 3944461. The next prime is 3944483. The reversal of 3944480 is 844493.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 2062096 = 1372^2 + 1436^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3944483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14102 + ... + 14378.

Almost surely, 23944480 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 3944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728780).

3944480 is an abundant number, since it is smaller than the sum of its proper divisors (5513080).

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

3944480 is a wasteful number, since it uses less digits than its factorization.

3944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3944480 is about 1986.0714992165. The cubic root of 3944480 is about 158.0022431984.

The spelling of 3944480 in words is "three million, nine hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 277 356 445 554 712 890 1108 1385 1424 1780 2216 2770 2848 3560 4432 5540 7120 8864 11080 14240 22160 24653 44320 49306 98612 123265 197224 246530 394448 493060 788896 986120 1972240 3944480