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3782345346 = 2321316163869
BaseRepresentation
bin1110000101110010…
…0000001010000010
3100202121011001101200
43201130200022002
530221240022341
61423152442030
7162505255623
oct34134401202
910677131350
103782345346
11167104304a
12896849316
134837c5690
1427c497a4a
151720cedb6
hexe1720282

3782345346 has 24 divisors (see below), whose sum is σ = 8825473020. Its totient is φ = 1163798496.

The previous prime is 3782345323. The next prime is 3782345353. The reversal of 3782345346 is 6435432873.

3782345346 is a `hidden beast` number, since 3 + 7 + 82 + 34 + 534 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3703331025 + 79014321 = 60855^2 + 8889^2 .

It is a super-2 number, since 2×37823453462 = 28612272632815719432, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8081701 + ... + 8082168.

Almost surely, 23782345346 is an apocalyptic number.

3782345346 is an abundant number, since it is smaller than the sum of its proper divisors (5043127674).

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

3782345346 is a wasteful number, since it uses less digits than its factorization.

3782345346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16163890 (or 16163887 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3782345346 is about 61500.7751658465. The cubic root of 3782345346 is about 1558.0703384240.

The spelling of 3782345346 in words is "three billion, seven hundred eighty-two million, three hundred forty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 16163869 32327738 48491607 96983214 145474821 210130297 290949642 420260594 630390891 1260781782 1891172673 3782345346