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3440135556 = 22331113297681
BaseRepresentation
bin1100110100001100…
…0100110110000100
322212202012222211000
43031003010312010
524021133314211
61325210013300
7151151445504
oct31503046604
98782188730
103440135556
111505959840
12800117230
1342a939290
14248c57a04
15152034656
hexcd0c4d84

3440135556 has 192 divisors, whose sum is σ = 10840838400. Its totient is φ = 928972800.

The previous prime is 3440135551. The next prime is 3440135609. The reversal of 3440135556 is 6555310443.

3440135556 is a `hidden beast` number, since 34 + 40 + 1 + 35 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3440135556.

It is not an unprimeable number, because it can be changed into a prime (3440135551) 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, 444036 + ... + 451716.

It is an arithmetic number, because the mean of its divisors is an integer number (56462700).

Almost surely, 23440135556 is an apocalyptic number.

3440135556 is a gapful number since it is divisible by the number (36) 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 3440135556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420419200).

3440135556 is an abundant number, since it is smaller than the sum of its proper divisors (7400702844).

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

3440135556 is a wasteful number, since it uses less digits than its factorization.

3440135556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3440135556 is about 58652.6687883851. The cubic root of 3440135556 is about 1509.5882911884.

Adding to 3440135556 its reverse (6555310443), we get a palindrome (9995445999).

The spelling of 3440135556 in words is "three billion, four hundred forty million, one hundred thirty-five thousand, five hundred fifty-six".