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3943072 = 25729607
BaseRepresentation
bin1111000010101010100000
321102022212201
433002222200
52002134242
6220302544
745341560
oct17025240
97368781
103943072
112253541
1213a1a54
13a809a3
14748da0
1552d4b7
hex3c2aa0

3943072 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1628928.

The previous prime is 3943061. The next prime is 3943087. The reversal of 3943072 is 2703493.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 3943072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6193 + ... + 6799.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23943072 is an apocalyptic number.

3943072 is a gapful number since it is divisible by the number (32) 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 3943072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3943072 is an abundant number, since it is smaller than the sum of its proper divisors (5249888).

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

3943072 is a wasteful number, since it uses less digits than its factorization.

3943072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3943072 is about 1985.7169989704. The cubic root of 3943072 is about 157.9834410890.

The spelling of 3943072 in words is "three million, nine hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 607 812 928 1214 1624 2428 3248 4249 4856 6496 8498 9712 16996 17603 19424 33992 35206 67984 70412 123221 135968 140824 246442 281648 492884 563296 985768 1971536 3943072