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3479472 = 243273331
BaseRepresentation
bin1101010001011110110000
320112202221100
431101132300
51342320342
6202324400
741401143
oct15213660
96482840
103479472
111a671a7
1211b9700
1394a979
1466805a
1548ae4c
hex3517b0

3479472 has 60 divisors (see below), whose sum is σ = 9900904. Its totient is φ = 1140480.

The previous prime is 3479461. The next prime is 3479479. The reversal of 3479472 is 2749743.

3479472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3479479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10347 + ... + 10677.

Almost surely, 23479472 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 3479472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950452).

3479472 is an abundant number, since it is smaller than the sum of its proper divisors (6421432).

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

3479472 is a wasteful number, since it uses less digits than its factorization.

3479472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3479472 is about 1865.3342863948. The cubic root of 3479472 is about 151.5320325692.

The spelling of 3479472 in words is "three million, four hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 331 438 584 657 662 876 993 1168 1314 1324 1752 1986 2628 2648 2979 3504 3972 5256 5296 5958 7944 10512 11916 15888 23832 24163 47664 48326 72489 96652 144978 193304 217467 289956 386608 434934 579912 869868 1159824 1739736 3479472