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3009205290 = 2357132574289
BaseRepresentation
bin1011001101011100…
…1101010000101010
321202201100110121210
42303113031100222
522130324032130
61214333413550
7134366552160
oct26327152052
97681313553
103009205290
111304688523
126bb93a2b6
1338c588460
14207921230
151292b15b0
hexb35cd42a

3009205290 has 128 divisors (see below), whose sum is σ = 8925396480. Its totient is φ = 632291328.

The previous prime is 3009205279. The next prime is 3009205321. The reversal of 3009205290 is 925029003.

3009205290 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 699466 + ... + 703754.

It is an arithmetic number, because the mean of its divisors is an integer number (69729660).

Almost surely, 23009205290 is an apocalyptic number.

3009205290 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 3009205290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462698240).

3009205290 is an abundant number, since it is smaller than the sum of its proper divisors (5916191190).

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

3009205290 is a wasteful number, since it uses less digits than its factorization.

3009205290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3009205290 is about 54856.2238036852. The cubic root of 3009205290 is about 1443.7232113618.

The spelling of 3009205290 in words is "three billion, nine million, two hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 257 273 390 455 514 546 771 910 1285 1365 1542 1799 2570 2730 3341 3598 3855 4289 5397 6682 7710 8578 8995 10023 10794 12867 16705 17990 20046 21445 23387 25734 26985 30023 33410 42890 46774 50115 53970 55757 60046 64335 70161 90069 100230 111514 116935 128670 140322 150115 167271 180138 233870 278785 300230 334542 350805 390299 450345 557570 701610 780598 836355 900690 1102273 1170897 1672710 1951495 2204546 2341794 3306819 3902990 5511365 5854485 6613638 7715911 11022730 11708970 14329549 15431822 16534095 23147733 28659098 33068190 38579555 42988647 46295466 71647745 77159110 85977294 100306843 115738665 143295490 200613686 214943235 231477330 300920529 429886470 501534215 601841058 1003068430 1504602645 3009205290