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80903034 = 23217419631
BaseRepresentation
bin1001101001001…
…11101101111010
312122020022002200
410310213231322
5131202344114
612010011030
72001443622
oct464475572
9178208080
1080903034
1141738713
1223116a76
13139b8424
14aa5d882
157181409
hex4d27b7a

80903034 has 48 divisors (see below), whose sum is σ = 186338880. Its totient is φ = 25280640.

The previous prime is 80903003. The next prime is 80903057. The reversal of 80903034 is 43030908.

It is a junction number, because it is equal to n+sod(n) for n = 80902989 and 80903007.

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, 127899 + ... + 128529.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 280903034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80903034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93169440).

80903034 is an abundant number, since it is smaller than the sum of its proper divisors (105435846).

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

80903034 is a wasteful number, since it uses less digits than its factorization.

80903034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 80903034 is about 8994.6113868249. The cubic root of 80903034 is about 432.5021488527.

The spelling of 80903034 in words is "eighty million, nine hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 419 631 838 1257 1262 1893 2514 3771 3786 5679 7123 7542 10727 11358 14246 21369 21454 32181 42738 64107 64362 96543 128214 193086 264389 528778 793167 1586334 2379501 4494613 4759002 8989226 13483839 26967678 40451517 80903034