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30938310 = 23251331853
BaseRepresentation
bin111011000000…
…1010011000110
32011012211101100
41312001103012
530410011220
63023040530
7523654104
oct166012306
964184340
1030938310
1116511457
12a440146
1365430c0
144174c74
152ab1d90
hex1d814c6

30938310 has 96 divisors (see below), whose sum is σ = 89526528. Its totient is φ = 7361280.

The previous prime is 30938309. The next prime is 30938329. The reversal of 30938310 is 1383903.

It is a super-2 number, since 2×309383102 = 1914358051312200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35844 + ... + 36696.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 230938310 is an apocalyptic number.

30938310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30938310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44763264).

30938310 is an abundant number, since it is smaller than the sum of its proper divisors (58588218).

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

30938310 is a wasteful number, since it uses less digits than its factorization.

30938310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30938310 is about 5562.2216784303. The cubic root of 30938310 is about 313.9295486119.

The spelling of 30938310 in words is "thirty million, nine hundred thirty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 853 930 1170 1209 1395 1706 2015 2418 2559 2790 3627 4030 4265 5118 6045 7254 7677 8530 11089 12090 12795 15354 18135 22178 25590 26443 33267 36270 38385 52886 55445 66534 76770 79329 99801 110890 132215 158658 166335 199602 237987 264430 332670 343759 396645 475974 499005 687518 793290 998010 1031277 1189935 1718795 2062554 2379870 3093831 3437590 5156385 6187662 10312770 15469155 30938310