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341136090 = 23353153769
BaseRepresentation
bin10100010101010…
…101001011011010
3212202220111202000
4110111111023122
51144312323330
653503421430
711311415601
oct2425251332
9782814660
10341136090
11165620659
12962b4876
13558a1799
1433440a38
151ee37560
hex145552da

341136090 has 128 divisors (see below), whose sum is σ = 958003200. Its totient is φ = 86261760.

The previous prime is 341136079. The next prime is 341136181. The reversal of 341136090 is 90631143.

341136090 is a `hidden beast` number, since 3 + 41 + 13 + 609 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 443226 + ... + 443994.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2341136090 is an apocalyptic number.

341136090 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 341136090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

341136090 is an abundant number, since it is smaller than the sum of its proper divisors (616867110).

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

341136090 is a wasteful number, since it uses less digits than its factorization.

341136090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 341136090 is about 18469.8697883878. The cubic root of 341136090 is about 698.7297302863.

The spelling of 341136090 in words is "three hundred forty-one million, one hundred thirty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 53 54 62 90 93 106 135 155 159 186 265 270 279 310 318 465 477 530 558 769 795 837 930 954 1395 1431 1538 1590 1643 1674 2307 2385 2790 2862 3286 3845 4185 4614 4770 4929 6921 7155 7690 8215 8370 9858 11535 13842 14310 14787 16430 20763 23070 23839 24645 29574 34605 40757 41526 44361 47678 49290 69210 71517 73935 81514 88722 103815 119195 122271 143034 147870 203785 207630 214551 221805 238390 244542 357585 366813 407570 429102 443610 611355 643653 715170 733626 1072755 1100439 1222710 1263467 1287306 1834065 2145510 2200878 2526934 3218265 3668130 3790401 5502195 6317335 6436530 7580802 11004390 11371203 12634670 18952005 22742406 34113609 37904010 56856015 68227218 113712030 170568045 341136090