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2933244090 = 234571730431
BaseRepresentation
bin1010111011010101…
…1100000010111010
321120102102020110000
42232311130002322
522001402302330
61203021333430
7132455110020
oct25665340272
97512366400
102933244090
111275815777
1269a407276
133799104ba
141db7ca710
151227a9560
hexaed5c0ba

2933244090 has 160 divisors (see below), whose sum is σ = 9544449024. Its totient is φ = 630996480.

The previous prime is 2933244077. The next prime is 2933244101. The reversal of 2933244090 is 904423392.

2933244090 is a `hidden beast` number, since 293 + 324 + 40 + 9 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 81175 + ... + 111605.

Almost surely, 22933244090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2933244090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772224512).

2933244090 is an abundant number, since it is smaller than the sum of its proper divisors (6611204934).

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

2933244090 is a wasteful number, since it uses less digits than its factorization.

2933244090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30474 (or 30465 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2933244090 is about 54159.4321425179. The cubic root of 2933244090 is about 1431.4715954193.

The spelling of 2933244090 in words is "two billion, nine hundred thirty-three million, two hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 306 315 357 378 405 459 510 567 595 630 714 765 810 918 945 1071 1134 1190 1377 1530 1785 1890 2142 2295 2754 2835 3213 3570 4590 5355 5670 6426 6885 9639 10710 13770 16065 19278 30431 32130 48195 60862 91293 96390 152155 182586 213017 273879 304310 426034 456465 517327 547758 639051 821637 912930 1034654 1065085 1278102 1369395 1551981 1643274 1917153 2130170 2464911 2586635 2738790 3103962 3195255 3621289 3834306 4108185 4655943 4929822 5173270 5751459 6390510 7242578 7759905 8216370 9311886 9585765 10863867 11502918 12324555 13967829 15519810 17254377 18106445 19171530 21727734 23279715 24649110 27935658 28757295 32591601 34508754 36212890 41903487 46559430 54319335 57514590 65183202 69839145 83806974 86271885 97774803 108638670 139678290 162958005 172543770 195549606 209517435 293324409 325916010 419034870 488874015 586648818 977748030 1466622045 2933244090