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189246330 = 232572133301
BaseRepresentation
bin10110100011110…
…10101101111010
3111012002201011100
423101322231322
5341421340310
630440112230
74455365400
oct1321725572
9435081140
10189246330
1197908629
1253465676
13302906a0
141b1c3470
1511932ec0
hexb47ab7a

189246330 has 144 divisors (see below), whose sum is σ = 616589064. Its totient is φ = 39916800.

The previous prime is 189246313. The next prime is 189246331. The reversal of 189246330 is 33642981.

189246330 is a `hidden beast` number, since 1 + 89 + 246 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88906041 + 100340289 = 9429^2 + 10017^2 .

It is a super-3 number, since 3×1892463303 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (189246331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55680 + ... + 58980.

Almost surely, 2189246330 is an apocalyptic number.

189246330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189246330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308294532).

189246330 is an abundant number, since it is smaller than the sum of its proper divisors (427342734).

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

189246330 is a wasteful number, since it uses less digits than its factorization.

189246330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 189246330 is about 13756.6831031321. The cubic root of 189246330 is about 574.1285652924.

The spelling of 189246330 in words is "one hundred eighty-nine million, two hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3301 3822 4095 4410 5733 6370 6602 8190 9555 9903 11466 16505 19110 19806 23107 28665 29709 33010 42913 46214 49515 57330 59418 69321 85826 99030 115535 128739 138642 148545 161749 207963 214565 231070 257478 297090 300391 323498 346605 386217 415926 429130 485247 600782 643695 693210 772434 808745 901173 970494 1039815 1287390 1455741 1501955 1617490 1802346 1931085 2079630 2102737 2426235 2703519 2911482 3003910 3862170 4205474 4505865 4852470 5407038 6308211 7278705 9011730 10513685 12616422 13517595 14557410 18924633 21027370 27035190 31541055 37849266 63082110 94623165 189246330