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3406146426 = 2326127111447
BaseRepresentation
bin1100101100000101…
…1010101101111010
322210101021011111100
43023001122231322
523433433141201
61321553312230
7150256524024
oct31301325572
98711234440
103406146426
111498754251
127b0865676
13423898677
1424452b014
1514e06d886
hexcb05ab7a

3406146426 has 48 divisors (see below), whose sum is σ = 7529303808. Its totient is φ = 1112551200.

The previous prime is 3406146409. The next prime is 3406146431. The reversal of 3406146426 is 6246416043.

3406146426 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 1 + 4 + 642 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 291835 + ... + 303281.

It is an arithmetic number, because the mean of its divisors is an integer number (156860496).

Almost surely, 23406146426 is an apocalyptic number.

3406146426 is an abundant number, since it is smaller than the sum of its proper divisors (4123157382).

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

3406146426 is a wasteful number, since it uses less digits than its factorization.

3406146426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11784 counting only the distinct ones).

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

The square root of 3406146426 is about 58362.2003183567. The cubic root of 3406146426 is about 1504.6001632437.

The spelling of 3406146426 in words is "three billion, four hundred six million, one hundred forty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 61 122 183 271 366 542 549 813 1098 1626 2439 4878 11447 16531 22894 33062 34341 49593 68682 99186 103023 148779 206046 297558 698267 1396534 2094801 3102137 4189602 6204274 6284403 9306411 12568806 18612822 27919233 55838466 189230357 378460714 567691071 1135382142 1703073213 3406146426