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3480111360 = 283251129947
BaseRepresentation
bin1100111101101110…
…0100100100000000
322222112102222022100
43033123210210000
524111402030420
61333154510400
7152145313155
oct31733444400
98875388270
103480111360
1115264831a0
12811595400
13435cc4abb
142502a222c
151557ce190
hexcf6e4900

3480111360 has 432 divisors, whose sum is σ = 13602738240. Its totient is φ = 813711360.

The previous prime is 3480111337. The next prime is 3480111379. The reversal of 3480111360 is 631110843.

It is a super-2 number, since 2×34801113602 = 24222350156002099200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674407 + ... + 3675353.

It is an arithmetic number, because the mean of its divisors is an integer number (31487820).

Almost surely, 23480111360 is an apocalyptic number.

3480111360 is a gapful number since it is divisible by the number (30) 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 3480111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801369120).

3480111360 is an abundant number, since it is smaller than the sum of its proper divisors (10122626880).

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

3480111360 is a wasteful number, since it uses less digits than its factorization.

3480111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3480111360 is about 58992.4686718567. The cubic root of 3480111360 is about 1515.4131343970.

The spelling of 3480111360 in words is "three billion, four hundred eighty million, one hundred eleven thousand, three hundred sixty".