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3289000890 = 2357192393449
BaseRepresentation
bin1100010000001010…
…0010101110111010
322111012211120000210
43010002202232322
523213441012030
61302210411550
7144335021610
oct30402425672
98435746023
103289000890
11143861205a
12779590bb6
13405530a96
14232b556b0
15143b2dbb0
hexc40a2bba

3289000890 has 128 divisors (see below), whose sum is σ = 9538560000. Its totient is φ = 709019136.

The previous prime is 3289000877. The next prime is 3289000901. The reversal of 3289000890 is 980009823.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951886 + ... + 955334.

It is an arithmetic number, because the mean of its divisors is an integer number (74520000).

Almost surely, 23289000890 is an apocalyptic number.

3289000890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3289000890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280000).

3289000890 is an abundant number, since it is smaller than the sum of its proper divisors (6249559110).

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

3289000890 is a wasteful number, since it uses less digits than its factorization.

3289000890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3289000890 is about 57349.8115951570. The cubic root of 3289000890 is about 1487.1496172591.

The spelling of 3289000890 in words is "three billion, two hundred eighty-nine million, eight hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 239 266 285 399 478 570 665 717 798 1195 1330 1434 1673 1995 2390 3346 3449 3585 3990 4541 5019 6898 7170 8365 9082 10038 10347 13623 16730 17245 20694 22705 24143 25095 27246 31787 34490 45410 48286 50190 51735 63574 65531 68115 72429 95361 103470 120715 131062 136230 144858 158935 190722 196593 241430 317870 327655 362145 393186 458717 476805 655310 724290 824311 917434 953610 982965 1376151 1648622 1965930 2293585 2472933 2752302 4121555 4587170 4945866 5770177 6880755 8243110 11540354 12364665 13761510 15661909 17310531 24729330 28850885 31323818 34621062 46985727 57701770 78309545 86552655 93971454 109633363 156619090 173105310 219266726 234928635 328900089 469857270 548166815 657800178 1096333630 1644500445 3289000890