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3946944 = 26361337
BaseRepresentation
bin1111000011100111000000
321102112012010
433003213000
52002300234
6220332520
745356061
oct17034700
97375163
103946944
112256441
1213a4140
13a82691
1474a568
1552e6e9
hex3c39c0

3946944 has 56 divisors (see below), whose sum is σ = 10645648. Its totient is φ = 1290240.

The previous prime is 3946939. The next prime is 3946981. The reversal of 3946944 is 4496493.

It is a zygodrome in base 2.

It is a congruent number.

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, 11544 + ... + 11880.

Almost surely, 23946944 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 3946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322824).

3946944 is an abundant number, since it is smaller than the sum of its proper divisors (6698704).

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

3946944 is a wasteful number, since it uses less digits than its factorization.

3946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 3946944 is about 1986.6917224371. The cubic root of 3946944 is about 158.0351361264.

The spelling of 3946944 in words is "three million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 337 366 488 674 732 976 1011 1348 1464 1952 2022 2696 2928 3904 4044 5392 5856 8088 10784 11712 16176 20557 21568 32352 41114 61671 64704 82228 123342 164456 246684 328912 493368 657824 986736 1315648 1973472 3946944