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30938208 = 253726577
BaseRepresentation
bin111011000000…
…1010001100000
32011012211020120
41312001101200
530410010313
63023040240
7523653600
oct166012140
964184216
1030938208
1116511374
12a440080
136543042
144174c00
152ab1d23
hex1d81460

30938208 has 72 divisors (see below), whose sum is σ = 94486392. Its totient is φ = 8838144.

The previous prime is 30938207. The next prime is 30938221. The reversal of 30938208 is 80283903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30938207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 7992.

It is an arithmetic number, because the mean of its divisors is an integer number (1312311).

Almost surely, 230938208 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 30938208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243196).

30938208 is an abundant number, since it is smaller than the sum of its proper divisors (63548184).

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

30938208 is a wasteful number, since it uses less digits than its factorization.

30938208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 30938208 is about 5562.2125094246. The cubic root of 30938208 is about 313.9292036152.

Adding to 30938208 its reverse (80283903), we get a palindrome (111222111).

It can be divided in two parts, 3093820 and 8, that added together give a triangular number (3093828 = T2487).

The spelling of 30938208 in words is "thirty million, nine hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 6577 13154 19731 26308 39462 46039 52616 78924 92078 105232 138117 157848 184156 210464 276234 315696 322273 368312 552468 631392 644546 736624 966819 1104936 1289092 1473248 1933638 2209872 2578184 3867276 4419744 5156368 7734552 10312736 15469104 30938208