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3328541312 = 2737702817
BaseRepresentation
bin1100011001100101…
…1000001010000000
322120222020102021212
43012121120022000
523304101310222
61310142105252
7145325064035
oct30631301200
98528212255
103328541312
111458969398
1278a87b228
13410796395
142380c938c
1514733e6e2
hexc6658280

3328541312 has 32 divisors (see below), whose sum is σ = 6810306420. Its totient is φ = 1619288064.

The previous prime is 3328541303. The next prime is 3328541317. The reversal of 3328541312 is 2131458233.

It can be written as a sum of positive squares in 2 ways, for example, as 3219881536 + 108659776 = 56744^2 + 10424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33285413122 = 22158374531381362688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3328541317) 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 3 ways as a sum of consecutive naturals, for example, 346673 + ... + 356144.

Almost surely, 23328541312 is an apocalyptic number.

3328541312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3328541312 is an abundant number, since it is smaller than the sum of its proper divisors (3481765108).

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

3328541312 is an equidigital number, since it uses as much as digits as its factorization.

3328541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702868 (or 702856 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 3328541312 is about 57693.5118709201. The cubic root of 3328541312 is about 1493.0854059779.

Adding to 3328541312 its reverse (2131458233), we get a palindrome (5459999545).

The spelling of 3328541312 in words is "three billion, three hundred twenty-eight million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 702817 1405634 2811268 5622536 11245072 22490144 26004229 44980288 52008458 89960576 104016916 208033832 416067664 832135328 1664270656 3328541312