Search a number
-
+
303120342 = 232716314759
BaseRepresentation
bin10010000100010…
…011111111010110
3210010101002221100
4102010103333112
51110044322332
650024530530
710340323530
oct2204237726
9703332840
10303120342
11146115888
1285620a46
134aa51165
142c386850
151b92867c
hex12113fd6

303120342 has 48 divisors (see below), whose sum is σ = 755239680. Its totient is φ = 86068656.

The previous prime is 303120341. The next prime is 303120359. The reversal of 303120342 is 243021303.

303120342 is a `hidden beast` number, since 303 + 1 + 20 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303120341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13159 + ... + 27917.

It is an arithmetic number, because the mean of its divisors is an integer number (15734160).

Almost surely, 2303120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377619840).

303120342 is an abundant number, since it is smaller than the sum of its proper divisors (452119338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303120342 is a wasteful number, since it uses less digits than its factorization.

303120342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303120342 is about 17410.3515760021. The cubic root of 303120342 is about 671.7459046781.

Adding to 303120342 its reverse (243021303), we get a palindrome (546141645).

The spelling of 303120342 in words is "three hundred three million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 2282 2934 3423 6846 10269 14759 20538 29518 44277 88554 103313 132831 206626 265662 309939 619878 929817 1859634 2405717 4811434 7217151 14434302 16840019 21651453 33680038 43302906 50520057 101040114 151560171 303120342