Search a number
-
+
3332046016 = 26139474229
BaseRepresentation
bin1100011010011010…
…1111110011000000
322121012211110211201
43012212233303000
523311000433031
61310345150544
7145366631605
oct30646576300
98535743751
103332046016
11145a942542
1278ba8b454
13411422680
1423875c6ac
151477d2d61
hexc69afcc0

3332046016 has 56 divisors (see below), whose sum is σ = 7129851120. Its totient is φ = 1535880192.

The previous prime is 3332046013. The next prime is 3332046037. The reversal of 3332046016 is 6106402333.

3332046016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33320460162 = 22205061305482944512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332046013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785790 + ... + 790018.

It is an arithmetic number, because the mean of its divisors is an integer number (127318770).

Almost surely, 23332046016 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 3332046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564925560).

3332046016 is an abundant number, since it is smaller than the sum of its proper divisors (3797805104).

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

3332046016 is a wasteful number, since it uses less digits than its factorization.

3332046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3332046016 is about 57723.8773472469. The cubic root of 3332046016 is about 1493.6092577584.

Adding to 3332046016 its reverse (6106402333), we get a palindrome (9438448349).

The spelling of 3332046016 in words is "three billion, three hundred thirty-two million, forty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 947 1894 3788 4229 7576 8458 12311 15152 16916 24622 30304 33832 49244 54977 60608 67664 98488 109954 135328 196976 219908 270656 393952 439816 787904 879632 1759264 3518528 4004863 8009726 16019452 32038904 52063219 64077808 104126438 128155616 208252876 256311232 416505752 833011504 1666023008 3332046016