Search a number
-
+
6230124234 = 234596311033
BaseRepresentation
bin1011100110101100…
…00010011011001010
3121002012002002210000
411303112002123022
5100224402433414
62510113103430
7310250116335
oct56326023312
917065062700
106230124234
112707819604
12125a557b76
1378396c759
144315d361c
15266e42b09
hex1735826ca

6230124234 has 80 divisors (see below), whose sum is σ = 14232968640. Its totient is φ = 2036301120.

The previous prime is 6230124217. The next prime is 6230124239. The reversal of 6230124234 is 4324210326.

6230124234 is a `hidden beast` number, since 6 + 230 + 1 + 2 + 423 + 4 = 666.

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 = 6230124198 and 6230124207.

It is not an unprimeable number, because it can be changed into a prime (6230124239) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6030582 + ... + 6031614.

It is an arithmetic number, because the mean of its divisors is an integer number (177912108).

Almost surely, 26230124234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230124234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116484320).

6230124234 is an abundant number, since it is smaller than the sum of its proper divisors (8002844406).

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

6230124234 is a wasteful number, since it uses less digits than its factorization.

6230124234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6230124234 is about 78931.1360237517. The cubic root of 6230124234 is about 1840.0610638604.

The spelling of 6230124234 in words is "six billion, two hundred thirty million, one hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 631 1033 1062 1262 1593 1893 2066 3099 3186 3786 4779 5679 6198 9297 9558 11358 17037 18594 27891 34074 37229 51111 55782 60947 74458 83673 102222 111687 121894 167346 182841 223374 335061 365682 548523 651823 670122 1005183 1097046 1303646 1645569 1955469 2010366 3015549 3291138 3910938 4936707 5866407 6031098 9873414 11732814 17599221 35198442 38457557 52797663 76915114 105595326 115372671 230745342 346118013 692236026 1038354039 2076708078 3115062117 6230124234