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345130533 = 3211311071051
BaseRepresentation
bin10100100100100…
…100011000100101
3220001102110002100
4110210210120211
51201323134113
654125202313
711360363316
oct2444443045
9801373070
10345130533
111678a9750
1297700399
135666c967
1433ba060d
1520475d73
hex14924625

345130533 has 48 divisors (see below), whose sum is σ = 567171072. Its totient is φ = 200340000.

The previous prime is 345130483. The next prime is 345130543. The reversal of 345130533 is 335031543.

It is a happy number.

It is not a de Polignac number, because 345130533 - 26 = 345130469 is a prime.

It is a super-3 number, since 3×3451305333 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 345130497 and 345130506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345130543) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 327858 + ... + 328908.

It is an arithmetic number, because the mean of its divisors is an integer number (11816064).

Almost surely, 2345130533 is an apocalyptic number.

345130533 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345130533 is a deficient number, since it is larger than the sum of its proper divisors (222040539).

345130533 is a wasteful number, since it uses less digits than its factorization.

345130533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 345130533 is about 18577.6891189405. The cubic root of 345130533 is about 701.4463516428.

The spelling of 345130533 in words is "three hundred forty-five million, one hundred thirty thousand, five hundred thirty-three".

Divisors: 1 3 9 11 31 33 93 99 107 279 321 341 963 1023 1051 1177 3069 3153 3317 3531 9459 9951 10593 11561 29853 32581 34683 36487 97743 104049 109461 112457 293229 328383 337371 358391 1012113 1075173 1237027 3225519 3486167 3711081 10458501 11133243 31375503 38347837 115043511 345130533