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3228480 = 263251959
BaseRepresentation
bin1100010100001101000000
320002000122100
430110031000
51311302410
6153110400
736304323
oct14241500
96060570
103228480
111905672
1210b8400
13890658
146007ba
1543b8c0
hex314340

3228480 has 168 divisors, whose sum is σ = 11887200. Its totient is φ = 801792.

The previous prime is 3228469. The next prime is 3228517. The reversal of 3228480 is 848223.

3228480 = T81 + T82 + ... + T270.

It is a super-2 number, since 2×32284802 = 20846166220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54691 + ... + 54749.

Almost surely, 23228480 is an apocalyptic number.

3228480 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 3228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

3228480 is an abundant number, since it is smaller than the sum of its proper divisors (8658720).

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

3228480 is a wasteful number, since it uses less digits than its factorization.

3228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3228480 is about 1796.7971504875. The cubic root of 3228480 is about 147.7971411155.

The spelling of 3228480 in words is "three million, two hundred twenty-eight thousand, four hundred eighty".