Search a number
-
+
3322148704 = 257172383457
BaseRepresentation
bin1100011000000011…
…1111011101100000
322120112012122021121
43012000333131200
523300432224304
61305353102024
7145216540510
oct30600773540
98515178247
103322148704
1114552a2546
127886b7914
1340c368784
14237303840
151469ca554
hexc603f760

3322148704 has 192 divisors, whose sum is σ = 8376431616. Its totient is φ = 1263550464.

The previous prime is 3322148699. The next prime is 3322148707. The reversal of 3322148704 is 4078412233.

It is a super-2 number, since 2×33221487042 = 22073344022977759232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3322148704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322148707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7269244 + ... + 7269700.

It is an arithmetic number, because the mean of its divisors is an integer number (43627248).

Almost surely, 23322148704 is an apocalyptic number.

3322148704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188215808).

3322148704 is an abundant number, since it is smaller than the sum of its proper divisors (5054282912).

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

3322148704 is a wasteful number, since it uses less digits than its factorization.

3322148704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 3322148704 is about 57638.0837988218. The cubic root of 3322148704 is about 1492.1289483100.

The spelling of 3322148704 in words is "three billion, three hundred twenty-two million, one hundred forty-eight thousand, seven hundred four".