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3225680 = 24561661
BaseRepresentation
bin1100010011100001010000
320001212210122
430103201100
51311210210
6153045412
736263213
oct14234120
96055718
103225680
111903557
1210b6868
1388c2b3
145dd77a
1543ab55
hex313850

3225680 has 40 divisors (see below), whose sum is σ = 7634184. Its totient is φ = 1267200.

The previous prime is 3225679. The next prime is 3225737. The reversal of 3225680 is 865223.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 3125824 = 316^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×32256802 = 20810022924800, which contains 22 as substring.

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, 4550 + ... + 5210.

Almost surely, 23225680 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 3225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817092).

3225680 is an abundant number, since it is smaller than the sum of its proper divisors (4408504).

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

3225680 is a wasteful number, since it uses less digits than its factorization.

3225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3225680 is about 1796.0178172836. The cubic root of 3225680 is about 147.7544015302.

The spelling of 3225680 in words is "three million, two hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 661 976 1220 1322 2440 2644 3305 4880 5288 6610 10576 13220 26440 40321 52880 80642 161284 201605 322568 403210 645136 806420 1612840 3225680