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690033330 = 23457131929
BaseRepresentation
bin101001001000010…
…001001010110010
31210002102022210000
4221020101022302
52403122031310
6152245450430
723046120660
oct5110211262
91702368700
10690033330
11324562288
12173110a16
13acc5ca5c
1467901c30
15408a44c0
hex292112b2

690033330 has 160 divisors (see below), whose sum is σ = 2138970240. Its totient is φ = 156349440.

The previous prime is 690033319. The next prime is 690033347. The reversal of 690033330 is 33330096.

It is a super-2 number, since 2×6900333302 = 952291993021777800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 690033294 and 690033303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 742306 + ... + 743234.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2690033330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069485120).

690033330 is an abundant number, since it is smaller than the sum of its proper divisors (1448936910).

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

690033330 is a wasteful number, since it uses less digits than its factorization.

690033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 690033330 is about 26268.4854911736. The cubic root of 690033330 is about 883.6698201470.

The spelling of 690033330 in words is "six hundred ninety million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 131 135 162 189 210 262 270 315 378 393 405 567 630 655 786 810 917 929 945 1134 1179 1310 1834 1858 1890 1965 2358 2751 2787 2835 3537 3930 4585 4645 5502 5574 5670 5895 6503 7074 8253 8361 9170 9290 10611 11790 13006 13755 13935 16506 16722 17685 19509 21222 24759 25083 27510 27870 32515 35370 39018 41265 41805 49518 50166 53055 58527 65030 74277 75249 82530 83610 97545 106110 117054 121699 123795 125415 148554 150498 175581 195090 243398 247590 250830 292635 351162 365097 371385 376245 526743 585270 608495 730194 742770 752490 851893 877905 1053486 1095291 1216990 1703786 1755810 1825485 2190582 2555679 2633715 3285873 3650970 4259465 5111358 5267430 5476455 6571746 7667037 8518930 9857619 10952910 12778395 15334074 16429365 19715238 23001111 25556790 32858730 38335185 46002222 49288095 69003333 76670370 98576190 115005555 138006666 230011110 345016665 690033330