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3440141120 = 26513826957
BaseRepresentation
bin1100110100001100…
…0110001101000000
322212202020021110002
43031003012031000
524021134003440
61325210055132
7151151500643
oct31503061500
98782207402
103440141120
111505962a39
1280011a4a8
1342a93b980
14248c59a5a
15152036115
hexcd0c6340

3440141120 has 56 divisors (see below), whose sum is σ = 8821987944. Its totient is φ = 1270204416.

The previous prime is 3440141113. The next prime is 3440141129. The reversal of 3440141120 is 211410443.

It can be written as a sum of positive squares in 4 ways, for example, as 763527424 + 2676613696 = 27632^2 + 51736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3440141092 and 3440141101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440141129) 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, 409319 + ... + 417638.

It is an arithmetic number, because the mean of its divisors is an integer number (157535499).

Almost surely, 23440141120 is an apocalyptic number.

It is an amenable number.

3440141120 is an abundant number, since it is smaller than the sum of its proper divisors (5381846824).

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

3440141120 is a wasteful number, since it uses less digits than its factorization.

3440141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826987 (or 826977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3440141120 is about 58652.7162201377. The cubic root of 3440141120 is about 1509.5891050463.

Adding to 3440141120 its reverse (211410443), we get a palindrome (3651551563).

The spelling of 3440141120 in words is "three billion, four hundred forty million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 826957 1653914 3307828 4134785 6615656 8269570 10750441 13231312 16539140 21500882 26462624 33078280 43001764 52925248 53752205 66156560 86003528 107504410 132313120 172007056 215008820 264626240 344014112 430017640 688028224 860035280 1720070560 3440141120