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3456826065 = 345711110849
BaseRepresentation
bin1100111000001010…
…1111101011010001
322220220121221220000
43032002233223101
524034421413230
61331003440213
7151443352050
oct31602575321
98826557800
103456826065
111514319650
12805826069
13431231214
1424b160397
1515372eb60
hexce0afad1

3456826065 has 80 divisors (see below), whose sum is σ = 7725801600. Its totient is φ = 1436590080.

The previous prime is 3456826057. The next prime is 3456826067. The reversal of 3456826065 is 5606286543.

3456826065 is a `hidden beast` number, since 3 + 4 + 568 + 26 + 0 + 65 = 666.

It is not a de Polignac number, because 3456826065 - 23 = 3456826057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3456826065.

It is not an unprimeable number, because it can be changed into a prime (3456826067) 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 79 ways as a sum of consecutive naturals, for example, 24240 + ... + 86609.

It is an arithmetic number, because the mean of its divisors is an integer number (96572520).

Almost surely, 23456826065 is an apocalyptic number.

3456826065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3456826065 is an abundant number, since it is smaller than the sum of its proper divisors (4268975535).

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

3456826065 is a wasteful number, since it uses less digits than its factorization.

3456826065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110884 (or 110875 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3456826065 is about 58794.7792325135. The cubic root of 3456826065 is about 1512.0257105416.

The spelling of 3456826065 in words is "three billion, four hundred fifty-six million, eight hundred twenty-six thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 110849 332547 554245 775943 997641 1219339 1662735 2327829 2992923 3658017 3879715 4988205 6096695 6983487 8535373 8978769 10974051 11639145 14964615 18290085 20950461 25606119 32922153 34917435 42676865 44893845 54870255 62851383 76818357 98766459 104752305 128030595 164610765 230455071 314256915 384091785 493832295 691365213 1152275355 3456826065