Search a number
-
+
3023117838 = 23213234313063
BaseRepresentation
bin1011010000110001…
…0001111000001110
321210200112022001100
42310030101320032
522142404232323
61215551523530
7134626035426
oct26414217016
97720468040
103023117838
1113115201a4
127045295a6
13392419b30
14209703486
1512a60d943
hexb4311e0e

3023117838 has 96 divisors (see below), whose sum is σ = 7532388864. Its totient is φ = 868988736.

The previous prime is 3023117831. The next prime is 3023117857. The reversal of 3023117838 is 8387113203.

3023117838 is a `hidden beast` number, since 302 + 311 + 7 + 8 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023117831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224895 + ... + 237957.

It is an arithmetic number, because the mean of its divisors is an integer number (78462384).

Almost surely, 23023117838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023117838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766194432).

3023117838 is an abundant number, since it is smaller than the sum of its proper divisors (4509271026).

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

3023117838 is a wasteful number, since it uses less digits than its factorization.

3023117838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13150 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3023117838 is about 54982.8867739772. The cubic root of 3023117838 is about 1445.9447273742.

The spelling of 3023117838 in words is "three billion, twenty-three million, one hundred seventeen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 43 46 69 78 86 117 129 138 207 234 258 299 387 414 559 598 774 897 989 1118 1677 1794 1978 2691 2967 3354 5031 5382 5934 8901 10062 12857 13063 17802 25714 26126 38571 39189 77142 78378 115713 117567 169819 231426 235134 300449 339638 509457 561709 600898 901347 1018914 1123418 1528371 1685127 1802694 2704041 3056742 3370254 3905837 5055381 5408082 7302217 7811674 10110762 11717511 12919307 14604434 21906651 23435022 25838614 35152533 38757921 43813302 65719953 70305066 77515842 116273763 131439906 167950991 232547526 335901982 503852973 1007705946 1511558919 3023117838