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3480017312 = 25533675591
BaseRepresentation
bin1100111101101100…
…1101100110100000
322222112021012022002
43033123031212200
524111341023222
61333152503132
7152144442032
oct31733154640
98875235262
103480017312
111526419572
1281154aaa8
13435c91055
14250279c52
151557b1392
hexcf6cd9a0

3480017312 has 48 divisors (see below), whose sum is σ = 7000826112. Its totient is φ = 1702222080.

The previous prime is 3480017293. The next prime is 3480017327. The reversal of 3480017312 is 2137100843.

It is a super-2 number, since 2×34800173122 = 24221040983639410688, which contains 22 as substring.

It is an unprimeable number.

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, 619637 + ... + 625227.

It is an arithmetic number, because the mean of its divisors is an integer number (145850544).

Almost surely, 23480017312 is an apocalyptic number.

3480017312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480017312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500413056).

3480017312 is an abundant number, since it is smaller than the sum of its proper divisors (3520808800).

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

3480017312 is a wasteful number, since it uses less digits than its factorization.

3480017312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3480017312 is about 58991.6715477702. The cubic root of 3480017312 is about 1515.3994832190.

The spelling of 3480017312 in words is "three billion, four hundred eighty million, seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 212 367 424 734 848 1468 1696 2936 5591 5872 11182 11744 19451 22364 38902 44728 77804 89456 155608 178912 296323 311216 592646 622432 1185292 2051897 2370584 4103794 4741168 8207588 9482336 16415176 32830352 65660704 108750541 217501082 435002164 870004328 1740008656 3480017312