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30842208 = 253473163
BaseRepresentation
bin111010110100…
…1110101100000
32011000221120000
41311221311200
530343422313
63021020000
7523103655
oct165516540
964027500
1030842208
1116456231
12a3b4600
13650b437
14414bc2c
152a93673
hex1d69d60

30842208 has 120 divisors (see below), whose sum is σ = 92512728. Its totient is φ = 10077696.

The previous prime is 30842183. The next prime is 30842213. The reversal of 30842208 is 80224803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189135 + ... + 189297.

Almost surely, 230842208 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 30842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46256364).

30842208 is an abundant number, since it is smaller than the sum of its proper divisors (61670520).

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

30842208 is a wasteful number, since it uses less digits than its factorization.

30842208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30842208 is about 5553.5761451519. The cubic root of 30842208 is about 313.6041640083.

The spelling of 30842208 in words is "thirty million, eight hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 163 216 219 288 292 324 326 432 438 489 584 648 652 657 864 876 978 1168 1296 1304 1314 1467 1752 1956 1971 2336 2592 2608 2628 2934 3504 3912 3942 4401 5216 5256 5868 5913 7008 7824 7884 8802 10512 11736 11826 11899 13203 15648 15768 17604 21024 23472 23652 23798 26406 31536 35208 35697 46944 47304 47596 52812 63072 70416 71394 94608 95192 105624 107091 140832 142788 189216 190384 211248 214182 285576 321273 380768 422496 428364 571152 642546 856728 963819 1142304 1285092 1713456 1927638 2570184 3426912 3855276 5140368 7710552 10280736 15421104 30842208