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2990269332 = 2233176912357
BaseRepresentation
bin1011001000111011…
…1110001110010100
321201101201102101000
42302032332032110
522111002104312
61212415503300
7134046604251
oct26216761624
97641642330
102990269332
1112a4a24676
126b5527b30
1338868844b
142051d2428
151277c0adc
hexb23be394

2990269332 has 96 divisors (see below), whose sum is σ = 8223949440. Its totient is φ = 936368640.

The previous prime is 2990269313. The next prime is 2990269361. The reversal of 2990269332 is 2339620992.

2990269332 is a `hidden beast` number, since 299 + 0 + 26 + 9 + 332 = 666.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1267498 + ... + 1269854.

It is an arithmetic number, because the mean of its divisors is an integer number (85666140).

Almost surely, 22990269332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990269332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111974720).

2990269332 is an abundant number, since it is smaller than the sum of its proper divisors (5233680108).

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

2990269332 is a wasteful number, since it uses less digits than its factorization.

2990269332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 2990269332 is about 54683.3551640716. The cubic root of 2990269332 is about 1440.6885422458.

The spelling of 2990269332 in words is "two billion, nine hundred ninety million, two hundred sixty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 691 918 1382 1836 2073 2357 2764 4146 4714 6219 7071 8292 9428 11747 12438 14142 18657 21213 23494 24876 28284 35241 37314 40069 42426 46988 63639 70482 74628 80138 84852 105723 120207 127278 140964 160276 211446 240414 254556 317169 360621 422892 480828 634338 721242 1081863 1268676 1442484 1628687 2163726 3257374 4327452 4886061 6514748 9772122 14658183 19544244 27687679 29316366 43974549 55375358 58632732 83063037 87949098 110750716 166126074 175898196 249189111 332252148 498378222 747567333 996756444 1495134666 2990269332