Search a number
-
+
3445249056 = 25341598629
BaseRepresentation
bin1100110101011010…
…0101010000100000
322220002211210012220
43031112211100200
524023440432211
61325511351040
7151243063614
oct31526452040
98802753186
103445249056
111508831677
12801982480
1342ba09912
142497c9344
151526e4806
hexcd5a5420

3445249056 has 48 divisors (see below), whose sum is σ = 9047001600. Its totient is φ = 1148007168.

The previous prime is 3445249021. The next prime is 3445249057. The reversal of 3445249056 is 6509425443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34452490562 = 23739482115737782272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3445248999 and 3445249017.

It is not an unprimeable number, because it can be changed into a prime (3445249057) 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 7 ways as a sum of consecutive naturals, for example, 394950 + ... + 403578.

It is an arithmetic number, because the mean of its divisors is an integer number (188479200).

Almost surely, 23445249056 is an apocalyptic number.

It is an amenable number.

3445249056 is an abundant number, since it is smaller than the sum of its proper divisors (5601752544).

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

3445249056 is a wasteful number, since it uses less digits than its factorization.

3445249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3445249056 is about 58696.2439684176. The cubic root of 3445249056 is about 1510.3358836451.

The spelling of 3445249056 in words is "three billion, four hundred forty-five million, two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4159 8318 8629 12477 16636 17258 24954 25887 33272 34516 49908 51774 66544 69032 99816 103548 133088 138064 199632 207096 276128 399264 414192 828384 35888011 71776022 107664033 143552044 215328066 287104088 430656132 574208176 861312264 1148416352 1722624528 3445249056