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3011144032 = 251319137897
BaseRepresentation
bin1011001101111010…
…0110100101100000
321202211222222002001
42303132212211200
522131323102112
61214443133344
7134422205401
oct26336464540
97684888061
103011144032
111305792096
12700514254
1338cab6a40
14207ca79a8
15129545c57
hexb37a6960

3011144032 has 48 divisors (see below), whose sum is σ = 6417798912. Its totient is φ = 1382446080.

The previous prime is 3011144029. The next prime is 3011144033. The reversal of 3011144032 is 2304411103.

3011144032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011144033) 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, 60508 + ... + 98404.

It is an arithmetic number, because the mean of its divisors is an integer number (133704144).

Almost surely, 23011144032 is an apocalyptic number.

3011144032 is a gapful number since it is divisible by the number (32) 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 3011144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208899456).

3011144032 is an abundant number, since it is smaller than the sum of its proper divisors (3406654880).

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

3011144032 is a wasteful number, since it uses less digits than its factorization.

3011144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38111 (or 38103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3011144032 is about 54873.8920799318. The cubic root of 3011144032 is about 1444.0331941940.

Adding to 3011144032 its reverse (2304411103), we get a palindrome (5315555135).

The spelling of 3011144032 in words is "three billion, eleven million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 382 416 764 1528 2483 3056 4966 6112 9932 19864 37897 39728 75794 79456 151588 303176 492661 606352 985322 1212704 1970644 3941288 7238327 7882576 14476654 15765152 28953308 57906616 94098251 115813232 188196502 231626464 376393004 752786008 1505572016 3011144032