Search a number
-
+
345978999 = 3319798537
BaseRepresentation
bin10100100111110…
…011100001110111
3220010000112222000
4110213303201313
51202032311444
654155310343
711400526062
oct2447634167
9803015860
10345978999
11168329163
1297a4b3b3
13568a8c02
1433d418d9
1520592469
hex149f3877

345978999 has 32 divisors (see below), whose sum is σ = 546432000. Its totient is φ = 215721792.

The previous prime is 345978979. The next prime is 345979057. The reversal of 345978999 is 999879543.

It is a happy number.

345978999 is a `hidden beast` number, since 34 + 597 + 8 + 9 + 9 + 9 = 666.

It is not a de Polignac number, because 345978999 - 25 = 345978967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345978929) 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 31 ways as a sum of consecutive naturals, for example, 36259 + ... + 44795.

It is an arithmetic number, because the mean of its divisors is an integer number (17076000).

Almost surely, 2345978999 is an apocalyptic number.

345978999 is a deficient number, since it is larger than the sum of its proper divisors (200453001).

345978999 is a wasteful number, since it uses less digits than its factorization.

345978999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8638 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 345978999 is about 18600.5107187948. The cubic root of 345978999 is about 702.0206911865.

The spelling of 345978999 in words is "three hundred forty-five million, nine hundred seventy-eight thousand, nine hundred ninety-nine".

Divisors: 1 3 9 19 27 57 79 171 237 513 711 1501 2133 4503 8537 13509 25611 40527 76833 162203 230499 486609 674423 1459827 2023269 4379481 6069807 12814037 18209421 38442111 115326333 345978999