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3328132068 = 2232106187133
BaseRepresentation
bin1100011001011111…
…0100001111100100
322120221110121220200
43012113310033210
523304000211233
61310125230500
7145321440642
oct30627641744
98527417820
103328132068
111458709978
1278a702430
13410682021
14238020192
151472ad313
hexc65f43e4

3328132068 has 36 divisors (see below), whose sum is σ = 8420804028. Its totient is φ = 1108319040.

The previous prime is 3328132063. The next prime is 3328132079. The reversal of 3328132068 is 8602318233.

3328132068 is a `hidden beast` number, since 3 + 328 + 1 + 320 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2061341604 + 1266790464 = 45402^2 + 35592^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33281320682 = 22152926124099913248, which contains 22 as substring.

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 (3328132061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5371 + ... + 81762.

It is an arithmetic number, because the mean of its divisors is an integer number (233911223).

Almost surely, 23328132068 is an apocalyptic number.

It is an amenable number.

3328132068 is an abundant number, since it is smaller than the sum of its proper divisors (5092671960).

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

3328132068 is a wasteful number, since it uses less digits than its factorization.

3328132068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88204 (or 88199 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3328132068 is about 57689.9650545916. The cubic root of 3328132068 is about 1493.0242118761.

The spelling of 3328132068 in words is "three billion, three hundred twenty-eight million, one hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1061 2122 3183 4244 6366 9549 12732 19098 38196 87133 174266 261399 348532 522798 784197 1045596 1568394 3136788 92448113 184896226 277344339 369792452 554688678 832033017 1109377356 1664066034 3328132068