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3996666 = 2321737353
BaseRepresentation
bin1111001111101111111010
321112001101200
433033233322
52010343131
6221355030
745654042
oct17175772
97461350
103996666
11228a833
121408a76
13a9c1bb
14760722
1553e2e6
hex3cfbfa

3996666 has 48 divisors (see below), whose sum is σ = 9443304. Its totient is φ = 1216512.

The previous prime is 3996653. The next prime is 3996743. The reversal of 3996666 is 6666993.

It can be written as a sum of positive squares in 4 ways, for example, as 3980025 + 16641 = 1995^2 + 129^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11146 + ... + 11498.

Almost surely, 23996666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721652).

3996666 is an abundant number, since it is smaller than the sum of its proper divisors (5446638).

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

3996666 is a wasteful number, since it uses less digits than its factorization.

3996666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3996666 is about 1999.1663262470. The cubic root of 3996666 is about 158.6959896452.

The spelling of 3996666 in words is "three million, nine hundred ninety-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 353 629 666 706 1059 1258 1887 2118 3177 3774 5661 6001 6354 11322 12002 13061 18003 26122 36006 39183 54009 78366 108018 117549 222037 235098 444074 666111 1332222 1998333 3996666