Search a number
-
+
3441486048 = 2537111359607
BaseRepresentation
bin1100110100100000…
…1110100011100000
322212211202121100020
43031020032203200
524022010023143
61325254553440
7151166102010
oct31510164340
98784677306
103441486048
1115066a1450
12800668880
1342acbcba0
142490c9c40
151521ee883
hexcd20e8e0

3441486048 has 384 divisors, whose sum is σ = 12355338240. Its totient is φ = 809809920.

The previous prime is 3441486043. The next prime is 3441486119. The reversal of 3441486048 is 8406841443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441486043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5669361 + ... + 5669967.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 23441486048 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 3441486048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177669120).

3441486048 is an abundant number, since it is smaller than the sum of its proper divisors (8913852192).

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

3441486048 is a wasteful number, since it uses less digits than its factorization.

3441486048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 3441486048 is about 58664.1802806448. The cubic root of 3441486048 is about 1509.7858047418.

The spelling of 3441486048 in words is "three billion, four hundred forty-one million, four hundred eighty-six thousand, forty-eight".