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2991434292 = 22327114126321
BaseRepresentation
bin1011001001001101…
…1010101000110100
321201110220121101200
42302103122220310
522111301344132
61212500452500
7134062525530
oct26223325064
97643817350
102991434292
1112a564a950
126b59aa130
133889a5782
14205416bc0
15127950d7c
hexb24daa34

2991434292 has 144 divisors (see below), whose sum is σ = 9657857664. Its totient is φ = 758016000.

The previous prime is 2991434279. The next prime is 2991434293. The reversal of 2991434292 is 2924341992.

2991434292 is a `hidden beast` number, since 299 + 14 + 342 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991434293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100492 + ... + 126812.

It is an arithmetic number, because the mean of its divisors is an integer number (67068456).

Almost surely, 22991434292 is an apocalyptic number.

2991434292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991434292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828928832).

2991434292 is an abundant number, since it is smaller than the sum of its proper divisors (6666423372).

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

2991434292 is a wasteful number, since it uses less digits than its factorization.

2991434292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26390 (or 26385 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2991434292 is about 54694.0059970012. The cubic root of 2991434292 is about 1440.8756075158.

The spelling of 2991434292 in words is "two billion, nine hundred ninety-one million, four hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 26321 28413 37884 52642 56826 78963 105284 113652 157926 184247 236889 289531 315852 368494 473778 552741 579062 736988 868593 947556 1079161 1105482 1158124 1658223 1737186 2026717 2158322 2210964 2605779 3237483 3316446 3474372 4053434 4316644 5211558 6080151 6474966 6632892 7554127 8106868 9712449 10423116 11870771 12160302 12949932 15108254 18240453 19424898 22662381 23741542 24320604 30216508 35612313 36480906 38849796 45324762 47483084 67987143 71224626 72961812 83095397 90649524 106836939 135974286 142449252 166190794 213673878 249286191 271948572 332381588 427347756 498572382 747858573 997144764 1495717146 2991434292