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3482113024 = 21013261577
BaseRepresentation
bin1100111110001100…
…1101010000000000
322222200012200002001
43033203031100000
524112410104044
61333305433344
7152201321005
oct31743152000
98880180061
103482113024
111527620065
1281219b854
13436545c10
142506638ac
15155a772d4
hexcf8cd400

3482113024 has 44 divisors (see below), whose sum is σ = 7496302324. Its totient is φ = 1607122944.

The previous prime is 3482113007. The next prime is 3482113093. The reversal of 3482113024 is 4203112843.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 2460160000 = 31968^2 + 49600^2 .

It is a super-2 number, since 2×34821130242 = 24250222223820849152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3482112983 and 3482113001.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 117477 + ... + 144100.

Almost surely, 23482113024 is an apocalyptic number.

It is an amenable number.

3482113024 is an abundant number, since it is smaller than the sum of its proper divisors (4014189300).

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

3482113024 is a wasteful number, since it uses less digits than its factorization.

3482113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261610 (or 261592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3482113024 is about 59009.4316529146. The cubic root of 3482113024 is about 1515.7036199803.

Adding to 3482113024 its reverse (4203112843), we get a palindrome (7685225867).

The spelling of 3482113024 in words is "three billion, four hundred eighty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 13312 261577 523154 1046308 2092616 3400501 4185232 6801002 8370464 13602004 16740928 27204008 33481856 54408016 66963712 108816032 133927424 217632064 267854848 435264128 870528256 1741056512 3482113024