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3201680 = 245311291
BaseRepresentation
bin1100001101101010010000
320000122212202
430031222100
51304423210
6152342332
736133226
oct14155220
96018782
103201680
111897519
1210a49a8
138813b1
145d4b16
154339a5
hex30da90

3201680 has 40 divisors (see below), whose sum is σ = 7689984. Its totient is φ = 1238400.

The previous prime is 3201643. The next prime is 3201689. The reversal of 3201680 is 861023.

3201680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1835 + ... + 3125.

Almost surely, 23201680 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 3201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844992).

3201680 is an abundant number, since it is smaller than the sum of its proper divisors (4488304).

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

3201680 is a wasteful number, since it uses less digits than its factorization.

3201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3201680 is about 1789.3238946597. The cubic root of 3201680 is about 147.3870436545.

The spelling of 3201680 in words is "three million, two hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1291 2480 2582 5164 6455 10328 12910 20656 25820 40021 51640 80042 103280 160084 200105 320168 400210 640336 800420 1600840 3201680