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3944376 = 23352029
BaseRepresentation
bin1111000010111110111000
321102101200000
433002332320
52002210001
6220313000
745345432
oct17027670
97371600
103944376
112254517
1213a2760
13a81467
14749652
1552da86
hex3c2fb8

3944376 has 48 divisors (see below), whose sum is σ = 11083800. Its totient is φ = 1314144.

The previous prime is 3944371. The next prime is 3944387. The reversal of 3944376 is 6734493.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3944376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 2958.

Almost surely, 23944376 is an apocalyptic number.

3944376 is a gapful number since it is divisible by the number (36) 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 3944376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541900).

3944376 is an abundant number, since it is smaller than the sum of its proper divisors (7139424).

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

3944376 is a wasteful number, since it uses less digits than its factorization.

3944376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2034 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3944376 is about 1986.0453167035. The cubic root of 3944376 is about 158.0008545593. Note that the first 3 decimals are identical.

The spelling of 3944376 in words is "three million, nine hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2029 4058 6087 8116 12174 16232 18261 24348 36522 48696 54783 73044 109566 146088 164349 219132 328698 438264 493047 657396 986094 1314792 1972188 3944376