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3944960 = 2952367
BaseRepresentation
bin1111000011001000000000
321102102110122
433003020000
52002214320
6220315412
745350225
oct17031000
97372418
103944960
1122549a8
1213a2b68
13a817c6
1474994c
1552dd25
hex3c3200

3944960 has 80 divisors (see below), whose sum is σ = 10017216. Its totient is φ = 1486848.

The previous prime is 3944953. The next prime is 3944987. The reversal of 3944960 is 694493.

It is a happy number.

3944960 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3944960.

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 7 ways as a sum of consecutive naturals, for example, 58847 + ... + 58913.

Almost surely, 23944960 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 3944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608).

3944960 is an abundant number, since it is smaller than the sum of its proper divisors (6072256).

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

3944960 is an equidigital number, since it uses as much as digits as its factorization.

3944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3944960 is about 1986.1923371114. The cubic root of 3944960 is about 158.0086519858.

The spelling of 3944960 in words is "three million, nine hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 67 80 92 115 128 134 160 184 230 256 268 320 335 368 460 512 536 640 670 736 920 1072 1280 1340 1472 1541 1840 2144 2560 2680 2944 3082 3680 4288 5360 5888 6164 7360 7705 8576 10720 11776 12328 14720 15410 17152 21440 24656 29440 30820 34304 42880 49312 58880 61640 85760 98624 123280 171520 197248 246560 394496 493120 788992 986240 1972480 3944960