Search a number
-
+
3345073040 = 245215319421
BaseRepresentation
bin1100011101100001…
…1100001110010000
322122010100022120002
43013120130032100
523322314314130
61311532305132
7145615436351
oct30730341620
98563308502
103345073040
11146722a981
127943121a8
13414033c7a
1423a38dd28
15148a07b45
hexc761c390

3345073040 has 40 divisors (see below), whose sum is σ = 7781307768. Its totient is φ = 1337338880.

The previous prime is 3345073037. The next prime is 3345073129. The reversal of 3345073040 is 403705433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 477684736 + 2867388304 = 21856^2 + 53548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33450730402 = 22379027285869683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345072994 and 3345073012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162530 + ... + 181950.

Almost surely, 23345073040 is an apocalyptic number.

It is an amenable number.

3345073040 is an abundant number, since it is smaller than the sum of its proper divisors (4436234728).

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

3345073040 is a wasteful number, since it uses less digits than its factorization.

3345073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21587 (or 21581 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 3345073040 is about 57836.6064011366. The cubic root of 3345073040 is about 1495.5532066758.

Adding to 3345073040 its reverse (403705433), we get a palindrome (3748778473).

The spelling of 3345073040 in words is "three billion, three hundred forty-five million, seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2153 4306 8612 10765 17224 19421 21530 34448 38842 43060 77684 86120 97105 155368 172240 194210 310736 388420 776840 1553680 41813413 83626826 167253652 209067065 334507304 418134130 669014608 836268260 1672536520 3345073040