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38030802300 = 223252106139827
BaseRepresentation
bin100011011010110011…
…111111110101111100
310122011102122221002100
4203122303333311330
51110341341133200
625245432025100
72514303325431
oct433263776574
9118142587070
1038030802300
111514643a727
127454532190
13378110141a
141baac4db88
15ec8baad00
hex8dacffd7c

38030802300 has 108 divisors (see below), whose sum is σ = 119320784856. Its totient is φ = 10131734400.

The previous prime is 38030802283. The next prime is 38030802311. The reversal of 38030802300 is 320803083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 934987 + ... + 974813.

It is an arithmetic number, because the mean of its divisors is an integer number (1104822082).

Almost surely, 238030802300 is an apocalyptic number.

38030802300 is a gapful number since it is divisible by the number (30) 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 38030802300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59660392428).

38030802300 is an abundant number, since it is smaller than the sum of its proper divisors (81289982556).

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

38030802300 is a wasteful number, since it uses less digits than its factorization.

38030802300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40908 (or 40898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 38030802300 in words is "thirty-eight billion, thirty million, eight hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1061 2122 3183 4244 5305 6366 9549 10610 12732 15915 19098 21220 26525 31830 38196 39827 47745 53050 63660 79575 79654 95490 106100 119481 159150 159308 190980 199135 238725 238962 318300 358443 398270 477450 477924 597405 716886 796540 954900 995675 1194810 1433772 1792215 1991350 2389620 2987025 3584430 3982700 5974050 7168860 8961075 11948100 17922150 35844300 42256447 84512894 126769341 169025788 211282235 253538682 380308023 422564470 507077364 633846705 760616046 845128940 1056411175 1267693410 1521232092 1901540115 2112822350 2535386820 3169233525 3803080230 4225644700 6338467050 7606160460 9507700575 12676934100 19015401150 38030802300