Search a number
-
+
3242072448 = 273217198713
BaseRepresentation
bin1100000100111110…
…0001100110000000
322100221112100022100
43001033201212000
523114432304243
61253412510400
7143225106156
oct30117414600
98327470270
103242072448
11141407a01a
1276591b400
133c88ac784
1422a81b3d6
1513e95e0d3
hexc13e1980

3242072448 has 192 divisors, whose sum is σ = 10399287600. Its totient is φ = 963477504.

The previous prime is 3242072443. The next prime is 3242072453. The reversal of 3242072448 is 8442702423.

3242072448 is a `hidden beast` number, since 3 + 2 + 4 + 207 + 2 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (3242072443) and next prime (3242072453).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×32420724482 = 21022067516161425408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242072443) 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, 367740 + ... + 376452.

Almost surely, 23242072448 is an apocalyptic number.

3242072448 is a gapful number since it is divisible by the number (38) 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 3242072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199643800).

3242072448 is an abundant number, since it is smaller than the sum of its proper divisors (7157215152).

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

3242072448 is a wasteful number, since it uses less digits than its factorization.

3242072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 3242072448 is about 56939.1995728777. The cubic root of 3242072448 is about 1480.0426771234.

The spelling of 3242072448 in words is "three billion, two hundred forty-two million, seventy-two thousand, four hundred forty-eight".