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3480 = 233529
BaseRepresentation
bin110110011000
311202220
4312120
5102410
624040
713101
oct6630
94686
103480
112684
122020
131779
1413a8
151070
hexd98

3480 has 32 divisors (see below), whose sum is σ = 10800. Its totient is φ = 896.

The previous prime is 3469. The next prime is 3491. The reversal of 3480 is 843.

3480 divided by its sum of digits (15) gives a palindrome (232).

3480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 592-1.

It is an interprime number because it is at equal distance from previous prime (3469) and next prime (3491).

It is a super-2 number, since 2×34802 = 24220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

3480 is an undulating number in base 12.

It is the 29-th Perrin number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 134.

23480 is an apocalyptic number.

3480 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 3480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400).

3480 is an abundant number, since it is smaller than the sum of its proper divisors (7320).

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

3480 is a wasteful number, since it uses less digits than its factorization.

3480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3480 is about 58.9915248150. The cubic root of 3480 is about 15.1539697034.

The spelling of 3480 in words is "three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480