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3230080 = 27572103
BaseRepresentation
bin1100010100100110000000
320002002211121
430110212000
51311330310
6153122024
736312100
oct14244600
96062747
103230080
111906897
1210b9314
138912b9
14601200
1543c0da
hex314980

3230080 has 96 divisors (see below), whose sum is σ = 9069840. Its totient is φ = 1096704.

The previous prime is 3230053. The next prime is 3230093. The reversal of 3230080 is 800323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 31309 + ... + 31411.

Almost surely, 23230080 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 3230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534920).

3230080 is an abundant number, since it is smaller than the sum of its proper divisors (5839760).

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

3230080 is a wasteful number, since it uses less digits than its factorization.

3230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3230080 is about 1797.2423320187. The cubic root of 3230080 is about 147.8215526416.

The spelling of 3230080 in words is "three million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 103 112 128 140 160 196 206 224 245 280 320 392 412 448 490 515 560 640 721 784 824 896 980 1030 1120 1442 1568 1648 1960 2060 2240 2884 3136 3296 3605 3920 4120 4480 5047 5768 6272 6592 7210 7840 8240 10094 11536 13184 14420 15680 16480 20188 23072 25235 28840 31360 32960 40376 46144 50470 57680 65920 80752 92288 100940 115360 161504 201880 230720 323008 403760 461440 646016 807520 1615040 3230080