Search a number
-
+
3234652668 = 2232138977659
BaseRepresentation
bin1100000011001100…
…1110000111111100
322100102120101021200
43000303032013330
523111032341133
61252545455500
7143105044152
oct30063160774
98312511250
103234652668
11140a971475
12763341590
133c71b2480
142298493d2
1513de95913
hexc0cce1fc

3234652668 has 72 divisors (see below), whose sum is σ = 8904495600. Its totient is φ = 984082176.

The previous prime is 3234652667. The next prime is 3234652669. The reversal of 3234652668 is 8662564323.

It is a happy number.

3234652668 is a `hidden beast` number, since 3 + 23 + 46 + 526 + 68 = 666.

3234652668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3234652667) and next prime (3234652669).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234652667) 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, 2823 + ... + 80481.

It is an arithmetic number, because the mean of its divisors is an integer number (123673550).

Almost surely, 23234652668 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 3234652668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452247800).

3234652668 is an abundant number, since it is smaller than the sum of its proper divisors (5669842932).

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

3234652668 is a wasteful number, since it uses less digits than its factorization.

3234652668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77771 (or 77766 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3234652668 is about 56874.0069627594. The cubic root of 3234652668 is about 1478.9127435847.

The spelling of 3234652668 in words is "three billion, two hundred thirty-four million, six hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20826 41652 77659 155318 232977 310636 465954 698931 931908 1009567 1397862 2019134 2795724 3028701 4038268 6057402 6911651 9086103 12114804 13823302 18172206 20734953 27646604 36344412 41469906 62204859 82939812 89851463 124409718 179702926 248819436 269554389 359405852 539108778 808663167 1078217556 1617326334 3234652668