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343902090 = 23573191759
BaseRepresentation
bin10100011111111…
…000011110001010
3212222010000222110
4110133320132022
51201014331330
654043003150
711344056000
oct2437703612
9788100873
10343902090
1116713a804
12972094b6
135632c77c
1433960a70
15202d1db0
hex147f878a

343902090 has 128 divisors (see below), whose sum is σ = 1013760000. Its totient is φ = 74426688.

The previous prime is 343902077. The next prime is 343902101. The reversal of 343902090 is 90209343.

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

It is a Curzon number.

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, 194631 + ... + 196389.

It is an arithmetic number, because the mean of its divisors is an integer number (7920000).

Almost surely, 2343902090 is an apocalyptic number.

343902090 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 343902090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506880000).

343902090 is an abundant number, since it is smaller than the sum of its proper divisors (669857910).

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

343902090 is a wasteful number, since it uses less digits than its factorization.

343902090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 343902090 is about 18544.5973264452. The cubic root of 343902090 is about 700.6131294702.

The spelling of 343902090 in words is "three hundred forty-three million, nine hundred two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 343 399 490 570 665 686 735 798 931 1029 1330 1470 1715 1759 1862 1995 2058 2793 3430 3518 3990 4655 5145 5277 5586 6517 8795 9310 10290 10554 12313 13034 13965 17590 19551 24626 26385 27930 32585 33421 36939 39102 52770 61565 65170 66842 73878 86191 97755 100263 123130 167105 172382 184695 195510 200526 233947 258573 334210 369390 430955 467894 501315 517146 603337 701841 861910 1002630 1169735 1206674 1292865 1403682 1637629 1810011 2339470 2585730 3016685 3275258 3509205 3620022 4912887 6033370 7018410 8188145 9050055 9825774 11463403 16376290 18100110 22926806 24564435 34390209 49128870 57317015 68780418 114634030 171951045 343902090