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3998736 = 243273967
BaseRepresentation
bin1111010000010000010000
321112011020100
433100100100
52010424421
6221412400
745663060
oct17202020
97464210
103998736
112291345
12140a100
13aa0121
147613a0
1553ec26
hex3d0410

3998736 has 60 divisors (see below), whose sum is σ = 12792832. Its totient is φ = 1142208.

The previous prime is 3998719. The next prime is 3998737. The reversal of 3998736 is 6378993.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3998691 and 3998700.

It is not an unprimeable number, because it can be changed into a prime (3998737) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 976 + ... + 2991.

Almost surely, 23998736 is an apocalyptic number.

3998736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3998736 is an abundant number, since it is smaller than the sum of its proper divisors (8794096).

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

3998736 is a wasteful number, since it uses less digits than its factorization.

3998736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3979 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3998736 is about 1999.6839750321. The cubic root of 3998736 is about 158.7233828109.

The spelling of 3998736 in words is "three million, nine hundred ninety-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3967 7934 11901 15868 23802 27769 31736 35703 47604 55538 63472 71406 83307 95208 111076 142812 166614 190416 222152 249921 285624 333228 444304 499842 571248 666456 999684 1332912 1999368 3998736