Search a number
-
+
345132543 = 37145311311
BaseRepresentation
bin10100100100100…
…100110111111111
3220001102112211210
4110210210313333
51201323220133
654125215503
711360402220
oct2444446777
9801375753
10345132543
11167900208
1297701593
1356670852
1433ba1247
1520476763
hex14924dff

345132543 has 16 divisors (see below), whose sum is σ = 526324736. Its totient is φ = 197065440.

The previous prime is 345132527. The next prime is 345132551. The reversal of 345132543 is 345231543.

It is not a de Polignac number, because 345132543 - 24 = 345132527 is a prime.

It is a super-3 number, since 3×3451325433 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 345132543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345132553) 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 15 ways as a sum of consecutive naturals, for example, 24858 + ... + 36168.

It is an arithmetic number, because the mean of its divisors is an integer number (32895296).

Almost surely, 2345132543 is an apocalyptic number.

345132543 is a deficient number, since it is larger than the sum of its proper divisors (181192193).

345132543 is a wasteful number, since it uses less digits than its factorization.

345132543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774.

The product of its digits is 21600, while the sum is 30.

The square root of 345132543 is about 18577.7432160098. The cubic root of 345132543 is about 701.4477133541.

The spelling of 345132543 in words is "three hundred forty-five million, one hundred thirty-two thousand, five hundred forty-three".

Divisors: 1 3 7 21 1453 4359 10171 11311 30513 33933 79177 237531 16434883 49304649 115044181 345132543