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3105513424 = 241315979349
BaseRepresentation
bin1011100100011010…
…0101111111010000
322000102120102112201
42321012211333100
522330002412144
61232053532544
7136646266666
oct27106457720
98012512481
103105513424
111353a88222
12728044154
133a6508710
14216630c36
151329871d4
hexb91a5fd0

3105513424 has 40 divisors (see below), whose sum is σ = 6484524200. Its totient is φ = 1432263168.

The previous prime is 3105513407. The next prime is 3105513427. The reversal of 3105513424 is 4243155013.

It can be written as a sum of positive squares in 4 ways, for example, as 178703424 + 2926810000 = 13368^2 + 54100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3105513392 and 3105513401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105513427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327502 + ... + 336850.

It is an arithmetic number, because the mean of its divisors is an integer number (162113105).

Almost surely, 23105513424 is an apocalyptic number.

It is an amenable number.

3105513424 is an abundant number, since it is smaller than the sum of its proper divisors (3379010776).

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

3105513424 is a wasteful number, since it uses less digits than its factorization.

3105513424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3105513424 is about 55727.1336424188. The cubic root of 3105513424 is about 1458.9636455964.

Adding to 3105513424 its reverse (4243155013), we get a palindrome (7348668437).

The spelling of 3105513424 in words is "three billion, one hundred five million, five hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1597 3194 6388 9349 12776 18698 20761 25552 37396 41522 74792 83044 121537 149584 166088 243074 332176 486148 972296 1944592 14930353 29860706 59721412 119442824 194094589 238885648 388189178 776378356 1552756712 3105513424