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30854208 = 2637112087
BaseRepresentation
bin111010110110…
…0110001000000
32011001120000110
41311230301000
530344313313
63021151320
7523153650
oct165546100
964046013
1030854208
1116464250
12a3bb540
136513a38
144152360
152a96ec3
hex1d6cc40

30854208 has 112 divisors (see below), whose sum is σ = 101827584. Its totient is φ = 8010240.

The previous prime is 30854191. The next prime is 30854221. The reversal of 30854208 is 80245803.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 13741 + ... + 15827.

Almost surely, 230854208 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 30854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913792).

30854208 is an abundant number, since it is smaller than the sum of its proper divisors (70973376).

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

30854208 is a wasteful number, since it uses less digits than its factorization.

30854208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30854208 is about 5554.6564250186. The cubic root of 30854208 is about 313.6448308115.

The spelling of 30854208 in words is "thirty million, eight hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2087 2112 2464 3696 4174 4928 6261 7392 8348 12522 14609 14784 16696 22957 25044 29218 33392 43827 45914 50088 58436 66784 68871 87654 91828 100176 116872 133568 137742 160699 175308 183656 200352 233744 275484 321398 350616 367312 400704 467488 482097 550968 642796 701232 734624 934976 964194 1101936 1285592 1402464 1469248 1928388 2203872 2571184 2804928 3856776 4407744 5142368 7713552 10284736 15427104 30854208