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345053643 = 3112967983
BaseRepresentation
bin10100100100010…
…001100111001011
3220001021112121120
4110210101213023
51201313204033
654123410323
711356623204
oct2444214713
9801245546
10345053643
11167856a00
12976839a3
135664396c
1433b805ab
152045d1b3
hex149119cb

345053643 has 24 divisors (see below), whose sum is σ = 506736384. Its totient is φ = 208694640.

The previous prime is 345053609. The next prime is 345053647. The reversal of 345053643 is 346350543.

It is not a de Polignac number, because 345053643 - 224 = 328276427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (345053647) by changing a digit.

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, 350530 + ... + 351512.

It is an arithmetic number, because the mean of its divisors is an integer number (21114016).

Almost surely, 2345053643 is an apocalyptic number.

345053643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345053643 is a deficient number, since it is larger than the sum of its proper divisors (161682741).

345053643 is a wasteful number, since it uses less digits than its factorization.

345053643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

The square root of 345053643 is about 18575.6195858981. The cubic root of 345053643 is about 701.3942571350.

It can be divided in two parts, 345053 and 643, that added together give a triangular number (345696 = T831).

The spelling of 345053643 in words is "three hundred forty-five million, fifty-three thousand, six hundred forty-three".

Divisors: 1 3 11 33 121 363 967 983 2901 2949 10637 10813 31911 32439 117007 118943 351021 356829 950561 2851683 10456171 31368513 115017881 345053643