Search a number
-
+
3441031620 = 223513311011409
BaseRepresentation
bin1100110100011001…
…1111100111000100
322212210220111222120
43031012133213010
524021401002440
61325241125540
7151162200105
oct31506374704
98783814876
103441031620
111506410a94
128004898b0
1342ab910b0
1424900c3ac
1515215edd0
hexcd19f9c4

3441031620 has 192 divisors, whose sum is σ = 10824468480. Its totient is φ = 811008000.

The previous prime is 3441031619. The next prime is 3441031621. The reversal of 3441031620 is 261301443.

It is an interprime number because it is at equal distance from previous prime (3441031619) and next prime (3441031621).

It is not an unprimeable number, because it can be changed into a prime (3441031621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2441476 + ... + 2442884.

It is an arithmetic number, because the mean of its divisors is an integer number (56377440).

Almost surely, 23441031620 is an apocalyptic number.

3441031620 is a gapful number since it is divisible by the number (30) 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 3441031620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412234240).

3441031620 is an abundant number, since it is smaller than the sum of its proper divisors (7383436860).

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

3441031620 is a wasteful number, since it uses less digits than its factorization.

3441031620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3441031620 is about 58660.3070227219. The cubic root of 3441031620 is about 1509.7193490369.

The spelling of 3441031620 in words is "three billion, four hundred forty-one million, thirty-one thousand, six hundred twenty".