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3460164642 = 234112176521
BaseRepresentation
bin1100111000111101…
…1110110000100010
322221010220120120000
43032033132300202
524041300232032
61331203200430
7151513625364
oct31617366042
98833816500
103460164642
111516199a00
12806976116
13431b2c9cc
1424b78cd34
15153b8de7c
hexce3dec22

3460164642 has 60 divisors (see below), whose sum is σ = 8522305638. Its totient is φ = 1048528800.

The previous prime is 3460164611. The next prime is 3460164647. The reversal of 3460164642 is 2464610643.

3460164642 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 1 + 6 + 4 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1820643561 + 1639521081 = 42669^2 + 40491^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3460164597 and 3460164606.

It is not an unprimeable number, because it can be changed into a prime (3460164647) 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 29 ways as a sum of consecutive naturals, for example, 68659 + ... + 107862.

Almost surely, 23460164642 is an apocalyptic number.

3460164642 is an abundant number, since it is smaller than the sum of its proper divisors (5062140996).

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

3460164642 is a wasteful number, since it uses less digits than its factorization.

3460164642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176557 (or 176537 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3460164642 is about 58823.1641617484. The cubic root of 3460164642 is about 1512.5123216627.

The spelling of 3460164642 in words is "three billion, four hundred sixty million, one hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 176521 353042 529563 1059126 1588689 1941731 3177378 3883462 4766067 5825193 9532134 11650386 14298201 17475579 21359041 28596402 34951158 42718082 52426737 64077123 104853474 128154246 157280211 192231369 314560422 384462738 576694107 1153388214 1730082321 3460164642