Search a number
-
+
307910052 = 223317295783
BaseRepresentation
bin10010010110100…
…101010110100100
3210110101110012000
4102112211112210
51112311110202
650315325300
710426122642
oct2226452644
9713343160
10307910052
1114889741a
1287150830
134ba3a2c8
142cc72192
151c07291c
hex125a55a4

307910052 has 96 divisors (see below), whose sum is σ = 874540800. Its totient is φ = 93252096.

The previous prime is 307910027. The next prime is 307910059. The reversal of 307910052 is 250019703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 307909998 and 307910025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307910059) 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 31 ways as a sum of consecutive naturals, for example, 50353 + ... + 56135.

It is an arithmetic number, because the mean of its divisors is an integer number (9109800).

Almost surely, 2307910052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307910052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437270400).

307910052 is an abundant number, since it is smaller than the sum of its proper divisors (566630748).

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

307910052 is a wasteful number, since it uses less digits than its factorization.

307910052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 307910052 is about 17547.3659561770. The cubic root of 307910052 is about 675.2655942476.

Adding to 307910052 its reverse (250019703), we get a palindrome (557929755).

It can be divided in two parts, 3079 and 10052, that added together give a palindrome (13131).

The spelling of 307910052 in words is "three hundred seven million, nine hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 918 986 1044 1479 1566 1836 1972 2958 3132 4437 5783 5916 8874 11566 13311 17349 17748 23132 26622 34698 52047 53244 69396 98311 104094 156141 167707 196622 208188 294933 312282 335414 393244 503121 589866 624564 670828 884799 1006242 1179732 1509363 1769598 2012484 2654397 2851019 3018726 3539196 4528089 5308794 5702038 6037452 8553057 9056178 10617588 11404076 17106114 18112356 25659171 34212228 51318342 76977513 102636684 153955026 307910052