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3289392 = 243253431
BaseRepresentation
bin1100100011000100110000
320012010012100
430203010300
51320230032
6154300400
736650031
oct14430460
96163170
103289392
111947407
121127700
138b22b2
14618a88
1544e97c
hex323130

3289392 has 60 divisors (see below), whose sum is σ = 9401184. Its totient is φ = 1073280.

The previous prime is 3289387. The next prime is 3289393. The reversal of 3289392 is 2939823.

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

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

It is a d-powerful number, because it can be written as 313 + 213 + 8 + 93 + 313 + 95 + 215 .

It is not an unprimeable number, because it can be changed into a prime (3289393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7417 + ... + 7847.

Almost surely, 23289392 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 3289392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592).

3289392 is an abundant number, since it is smaller than the sum of its proper divisors (6111792).

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

3289392 is a wasteful number, since it uses less digits than its factorization.

3289392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3289392 is about 1813.6681063524. The cubic root of 3289392 is about 148.7208562823.

The spelling of 3289392 in words is "three million, two hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 431 477 636 848 862 954 1272 1293 1724 1908 2544 2586 3448 3816 3879 5172 6896 7632 7758 10344 15516 20688 22843 31032 45686 62064 68529 91372 137058 182744 205587 274116 365488 411174 548232 822348 1096464 1644696 3289392