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350642045 = 51322941349
BaseRepresentation
bin10100111001100…
…101111101111101
3220102210110110102
4110321211331331
51204231021140
654443250445
711455260005
oct2471457575
9812713412
10350642045
1116aa23616
1299519a25
135784c500
14347d7005
1520bb3e15
hex14e65f7d

350642045 has 48 divisors (see below), whose sum is σ = 484218000. Its totient is φ = 243210240.

The previous prime is 350642027. The next prime is 350642057. The reversal of 350642045 is 540246053.

It can be written as a sum of positive squares in 24 ways, for example, as 339922969 + 10719076 = 18437^2 + 3274^2 .

It is not a de Polignac number, because 350642045 - 26 = 350641981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 350641999 and 350642017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004531 + ... + 1004879.

It is an arithmetic number, because the mean of its divisors is an integer number (10087875).

Almost surely, 2350642045 is an apocalyptic number.

It is an amenable number.

350642045 is a deficient number, since it is larger than the sum of its proper divisors (133575955).

350642045 is a wasteful number, since it uses less digits than its factorization.

350642045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 350642045 is about 18725.4384461352. The cubic root of 350642045 is about 705.1605321604.

Adding to 350642045 its reverse (540246053), we get a palindrome (890888098).

The spelling of 350642045 in words is "three hundred fifty million, six hundred forty-two thousand, forty-five".

Divisors: 1 5 13 29 41 65 145 169 205 349 377 533 845 1189 1745 1885 2665 4537 4901 5945 6929 10121 14309 15457 22685 24505 34645 50605 58981 71545 77285 131573 186017 200941 294905 414961 657865 930085 1004705 1710449 2074805 2418221 5394493 8552245 12091105 26972465 70128409 350642045