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2990302800 = 243523078117
BaseRepresentation
bin1011001000111100…
…0110011001010000
321201101210010021120
42302033012121100
522111004142200
61212420322240
7134050103652
oct26217063120
97641703246
102990302800
1112a4a47831
126b5543380
1338869a754
142052006d2
151277ca9a0
hexb23c6650

2990302800 has 120 divisors (see below), whose sum is σ = 9611322336. Its totient is φ = 794718720.

The previous prime is 2990302789. The next prime is 2990302817. The reversal of 2990302800 is 82030992.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364342 + ... + 372458.

Almost surely, 22990302800 is an apocalyptic number.

2990302800 is a gapful number since it is divisible by the number (20) 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 2990302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805661168).

2990302800 is an abundant number, since it is smaller than the sum of its proper divisors (6621019536).

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

2990302800 is a wasteful number, since it uses less digits than its factorization.

2990302800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2990302800 is about 54683.6611795516. The cubic root of 2990302800 is about 1440.6939171000.

The spelling of 2990302800 in words is "two billion, nine hundred ninety million, three hundred two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 307 400 600 614 921 1200 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 7675 8117 9210 12280 14736 15350 16234 18420 23025 24351 24560 30700 32468 36840 40585 46050 48702 61400 64936 73680 81170 92100 97404 121755 122800 129872 162340 184200 194808 202925 243510 324680 368400 389616 405850 487020 608775 649360 811700 974040 1217550 1623400 1948080 2435100 2491919 3246800 4870200 4983838 7475757 9740400 9967676 12459595 14951514 19935352 24919190 29903028 37378785 39870704 49838380 59806056 62297975 74757570 99676760 119612112 124595950 149515140 186893925 199353520 249191900 299030280 373787850 498383800 598060560 747575700 996767600 1495151400 2990302800