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3291473052 = 22327235031129
BaseRepresentation
bin1100010000101111…
…1110010010011100
322111101111011012100
43010023332102130
523220104114202
61302335405100
7144365026230
oct30413762234
98441434170
103291473052
111439a5046a
1277a383790
13405bb80ba
142331da5c0
15143e6b41c
hexc42fe49c

3291473052 has 144 divisors (see below), whose sum is σ = 9950653440. Its totient is φ = 896949504.

The previous prime is 3291473051. The next prime is 3291473083. The reversal of 3291473052 is 2503741923.

3291473052 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 a junction number, because it is equal to n+sod(n) for n = 3291472998 and 3291473016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3291473051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914824 + ... + 2915952.

It is an arithmetic number, because the mean of its divisors is an integer number (69101760).

Almost surely, 23291473052 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 3291473052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975326720).

3291473052 is an abundant number, since it is smaller than the sum of its proper divisors (6659180388).

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

3291473052 is a wasteful number, since it uses less digits than its factorization.

3291473052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3291473052 is about 57371.3609042003. The cubic root of 3291473052 is about 1487.5221269406.

The spelling of 3291473052 in words is "three billion, two hundred ninety-one million, four hundred seventy-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 503 644 828 966 1006 1129 1449 1509 1932 2012 2258 2898 3018 3387 3521 4516 4527 5796 6036 6774 7042 7903 9054 10161 10563 11569 13548 14084 15806 18108 20322 21126 23138 23709 25967 31612 31689 34707 40644 42252 46276 47418 51934 63378 69414 71127 77901 80983 94836 103868 104121 126756 138828 142254 155802 161966 181769 208242 233703 242949 284508 311604 323932 363538 416484 467406 485898 545307 567887 727076 728847 934812 971796 1090614 1135774 1457694 1635921 1703661 2181228 2271548 2915388 3271842 3407322 3975209 5110983 6543684 6814644 7950418 10221966 11925627 13061401 15900836 20443932 23851254 26122802 35776881 39184203 47702508 52245604 71553762 78368406 91429807 117552609 143107524 156736812 182859614 235105218 274289421 365719228 470210436 548578842 822868263 1097157684 1645736526 3291473052