Search a number
-
+
3506244245 = 57295315017
BaseRepresentation
bin1101000011111101…
…0000101010010101
3100001100121122212222
43100333100222111
524140044303440
61335530552125
7152613404300
oct32077205225
910040548788
103506244245
11153a202219
1281a298645
1343b54484a
14253945b37
15157c422b5
hexd0fd0a95

3506244245 has 24 divisors (see below), whose sum is σ = 4899892824. Its totient is φ = 2401598976.

The previous prime is 3506244241. The next prime is 3506244251. The reversal of 3506244245 is 5424426053.

3506244245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135512881 + 3370731364 = 11641^2 + 58058^2 .

It is not a de Polignac number, because 3506244245 - 22 = 3506244241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506244241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225977 + ... + 240993.

It is an arithmetic number, because the mean of its divisors is an integer number (204162201).

Almost surely, 23506244245 is an apocalyptic number.

3506244245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3506244245 is a deficient number, since it is larger than the sum of its proper divisors (1393648579).

3506244245 is a wasteful number, since it uses less digits than its factorization.

3506244245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15989 (or 15982 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 3506244245 is about 59213.5478163570. The cubic root of 3506244245 is about 1519.1968640630.

The spelling of 3506244245 in words is "three billion, five hundred six million, two hundred forty-four thousand, two hundred forty-five".

Divisors: 1 5 7 35 49 245 953 4765 6671 15017 33355 46697 75085 105119 233485 525595 735833 3679165 14311201 71556005 100178407 500892035 701248849 3506244245