[go: up one dir, main page]

Search a number
-
+
33246990 = 233573359
BaseRepresentation
bin111111011010…
…0111100001110
32022120010022000
41332310330032
532002400430
63144333130
7552411000
oct176647416
968503260
1033246990
1117848a57
12b1741a6
136b70b9a
1445b6370
152dbae60
hex1fb4f0e

33246990 has 128 divisors (see below), whose sum is σ = 103680000. Its totient is φ = 7578144.

The previous prime is 33246977. The next prime is 33247007. The reversal of 33246990 is 9964233.

It is a happy number.

It is a super-2 number, since 2×332469902 = 2210724688120200, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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, 92431 + ... + 92789.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 233246990 is an apocalyptic number.

33246990 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 33246990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

33246990 is an abundant number, since it is smaller than the sum of its proper divisors (70433010).

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

33246990 is a wasteful number, since it uses less digits than its factorization.

33246990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 33246990 is about 5766.0202913275. The cubic root of 33246990 is about 321.5516760205.

The spelling of 33246990 in words is "thirty-three million, two hundred forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 359 378 441 490 630 686 718 735 882 945 1029 1077 1323 1470 1715 1795 1890 2058 2154 2205 2513 2646 3087 3231 3430 3590 4410 5026 5145 5385 6174 6462 6615 7539 9261 9693 10290 10770 12565 13230 15078 15435 16155 17591 18522 19386 22617 25130 30870 32310 35182 37695 45234 46305 48465 52773 67851 75390 87955 92610 96930 105546 113085 123137 135702 158319 175910 226170 246274 263865 316638 339255 369411 474957 527730 615685 678510 738822 791595 949914 1108233 1231370 1583190 1847055 2216466 2374785 3324699 3694110 4749570 5541165 6649398 11082330 16623495 33246990