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3480518496 = 2537132191613
BaseRepresentation
bin1100111101110100…
…0111111101100000
322222120012122210110
43033131013331200
524112003042441
61333211331320
7152151630150
oct31735077540
98876178713
103480518496
111526731074
12811750b40
13436108200
1425036a760
1515585eb16
hexcf747f60

3480518496 has 288 divisors, whose sum is σ = 11908995840. Its totient is φ = 869087232.

The previous prime is 3480518473. The next prime is 3480518527. The reversal of 3480518496 is 6948150843.

It is a super-2 number, since 2×34805184962 = 24228018001996204032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2156986 + ... + 2158598.

It is an arithmetic number, because the mean of its divisors is an integer number (41350680).

Almost surely, 23480518496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480518496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954497920).

3480518496 is an abundant number, since it is smaller than the sum of its proper divisors (8428477344).

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

3480518496 is a wasteful number, since it uses less digits than its factorization.

3480518496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3480518496 is about 58995.9193165087. The cubic root of 3480518496 is about 1515.4722278300.

It can be divided in two parts, 34805 and 18496, that added together give a triangular number (53301 = T326).

The spelling of 3480518496 in words is "three billion, four hundred eighty million, five hundred eighteen thousand, four hundred ninety-six".