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3449676564 = 223295824349
BaseRepresentation
bin1100110110011101…
…1110001100010100
322220102011201121200
43031213132030110
524031104122224
61330150312500
7151325524035
oct31547361424
98812151550
103449676564
111510286074
12803358730
1342c8c9c49
1424a21ca8c
15152cbb5c9
hexcd9de314

3449676564 has 18 divisors (see below), whose sum is σ = 8720015850. Its totient is φ = 1149892176.

The previous prime is 3449676523. The next prime is 3449676569. The reversal of 3449676564 is 4656769443.

It is a happy number.

3449676564 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 6 + 76 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2543184900 + 906491664 = 50430^2 + 30108^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3449676564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449676569) 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 5 ways as a sum of consecutive naturals, for example, 47912139 + ... + 47912210.

It is an arithmetic number, because the mean of its divisors is an integer number (484445325).

Almost surely, 23449676564 is an apocalyptic number.

It is an amenable number.

3449676564 is an abundant number, since it is smaller than the sum of its proper divisors (5270339286).

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

3449676564 is a wasteful number, since it uses less digits than its factorization.

3449676564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95824359 (or 95824354 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 3449676564 is about 58733.9472877483. The cubic root of 3449676564 is about 1510.9825869392.

The spelling of 3449676564 in words is "three billion, four hundred forty-nine million, six hundred seventy-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 95824349 191648698 287473047 383297396 574946094 862419141 1149892188 1724838282 3449676564