Search a number
-
+
3453825912 = 2332314234397
BaseRepresentation
bin1100110111011101…
…0011001101111000
322220200222112110020
43031313103031320
524033134412122
61330415250440
7151406015205
oct31567231570
98820875406
103453825912
11151265a589
12804819a20
13430720794
1424a9bccac
1515333ac5c
hexcddd3378

3453825912 has 64 divisors (see below), whose sum is σ = 9018362880. Its totient is φ = 1100195712.

The previous prime is 3453825901. The next prime is 3453825913. The reversal of 3453825912 is 2195283543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453825913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783298 + ... + 787694.

It is an arithmetic number, because the mean of its divisors is an integer number (140911920).

Almost surely, 23453825912 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 3453825912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509181440).

3453825912 is an abundant number, since it is smaller than the sum of its proper divisors (5564536968).

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

3453825912 is a wasteful number, since it uses less digits than its factorization.

3453825912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5848 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 3453825912 is about 58769.2599238752. The cubic root of 3453825912 is about 1511.5881587372.

The spelling of 3453825912 in words is "three billion, four hundred fifty-three million, eight hundred twenty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1423 2846 4269 4397 5692 8538 8794 11384 13191 17076 17588 26382 32729 34152 35176 52764 65458 98187 101131 105528 130916 196374 202262 261832 303393 392748 404524 606786 785496 809048 1213572 2427144 6256931 12513862 18770793 25027724 37541586 50055448 75083172 143909413 150166344 287818826 431728239 575637652 863456478 1151275304 1726912956 3453825912