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3364464132 = 223293457337
BaseRepresentation
bin1100100010001001…
…1010011000000100
322200110211111010200
43020202122120010
523342300323012
61313504050500
7146242321221
oct31042323004
98613744120
103364464132
111477174777
1279a903a30
134180631a3
1423cb9a948
1514a5883dc
hexc889a604

3364464132 has 18 divisors (see below), whose sum is σ = 8504617758. Its totient is φ = 1121488032.

The previous prime is 3364464113. The next prime is 3364464139. The reversal of 3364464132 is 2314644633.

3364464132 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 4 + 641 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1899565056 + 1464899076 = 43584^2 + 38274^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33644641322 = 22639237791029026848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 93457337 = 3364464132 / (3 + 3 + 6 + 4 + 4 + 6 + 4 + 1 + 3 + 2).

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

It is not an unprimeable number, because it can be changed into a prime (3364464139) 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 5 ways as a sum of consecutive naturals, for example, 46728633 + ... + 46728704.

Almost surely, 23364464132 is an apocalyptic number.

It is an amenable number.

3364464132 is an abundant number, since it is smaller than the sum of its proper divisors (5140153626).

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

3364464132 is a wasteful number, since it uses less digits than its factorization.

3364464132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93457347 (or 93457342 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 3364464132 is about 58004.0009999310. Note that the first 3 decimals coincide. The cubic root of 3364464132 is about 1498.4375036352.

The spelling of 3364464132 in words is "three billion, three hundred sixty-four million, four hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 93457337 186914674 280372011 373829348 560744022 841116033 1121488044 1682232066 3364464132