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345046104 = 233213438573
BaseRepresentation
bin10100100100001…
…111110001011000
3220001021011021100
4110210033301120
51201312433404
654123311400
711356562214
oct2444176130
9801234240
10345046104
11167851277
129767b560
13566403c0
1433b7b944
152045ad39
hex1490fc58

345046104 has 96 divisors (see below), whose sum is σ = 1029908880. Its totient is φ = 103686912.

The previous prime is 345046087. The next prime is 345046111. The reversal of 345046104 is 401640543.

345046104 is a `hidden beast` number, since 3 + 45 + 0 + 4 + 610 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35962 + ... + 44534.

Almost surely, 2345046104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345046104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514954440).

345046104 is an abundant number, since it is smaller than the sum of its proper divisors (684862776).

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

345046104 is a wasteful number, since it uses less digits than its factorization.

345046104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345046104 is about 18575.4166575073. The cubic root of 345046104 is about 701.3891488956.

Adding to 345046104 its reverse (401640543), we get a palindrome (746686647).

The spelling of 345046104 in words is "three hundred forty-five million, forty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 5031 6708 8573 10062 13416 17146 20124 25719 34292 40248 51438 68584 77157 102876 111449 154314 205752 222898 308628 334347 368639 445796 617256 668694 737278 891592 1003041 1105917 1337388 1474556 2006082 2211834 2674776 2949112 3317751 4012164 4423668 4792307 6635502 8024328 8847336 9584614 13271004 14376921 19169228 26542008 28753842 38338456 43130763 57507684 86261526 115015368 172523052 345046104