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3944460 = 2235132389
BaseRepresentation
bin1111000011000000001100
321102101210010
433003000030
52002210320
6220313220
745345612
oct17030014
97371703
103944460
112254593
1213a2810
13a81500
147496b2
1552dae0
hex3c300c

3944460 has 72 divisors (see below), whose sum is σ = 11990160. Its totient is φ = 968448.

The previous prime is 3944449. The next prime is 3944461. The reversal of 3944460 is 644493.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3944461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9946 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

Almost surely, 23944460 is an apocalyptic number.

3944460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3944460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995080).

3944460 is an abundant number, since it is smaller than the sum of its proper divisors (8045700).

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

3944460 is a wasteful number, since it uses less digits than its factorization.

3944460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3944460 is about 1986.0664641446. The cubic root of 3944460 is about 158.0019761543.

The spelling of 3944460 in words is "three million, nine hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 389 390 507 676 778 780 845 1014 1167 1556 1690 1945 2028 2334 2535 3380 3890 4668 5057 5070 5835 7780 10114 10140 11670 15171 20228 23340 25285 30342 50570 60684 65741 75855 101140 131482 151710 197223 262964 303420 328705 394446 657410 788892 986115 1314820 1972230 3944460