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30238320 = 2435741439
BaseRepresentation
bin111001101011…
…0011001110000
32002220021011210
41303112121300
530220111240
63000040120
7515010240
oct163263160
962807153
1030238320
1116083552
12a163040
1363595c8
144031b20
1529c4780
hex1cd6670

30238320 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 6727680.

The previous prime is 30238309. The next prime is 30238339. The reversal of 30238320 is 2383203.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 68661 + ... + 69099.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 230238320 is an apocalyptic number.

30238320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

30238320 is an abundant number, since it is smaller than the sum of its proper divisors (79754640).

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

30238320 is a wasteful number, since it uses less digits than its factorization.

30238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30238320 is about 5498.9380793022. The cubic root of 30238320 is about 311.5438765663.

The spelling of 30238320 in words is "thirty million, two hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 439 492 560 574 615 656 820 840 861 878 984 1148 1230 1317 1435 1640 1680 1722 1756 1968 2195 2296 2460 2634 2870 3073 3280 3444 3512 4305 4390 4592 4920 5268 5740 6146 6585 6888 7024 8610 8780 9219 9840 10536 11480 12292 13170 13776 15365 17220 17560 17999 18438 21072 22960 24584 26340 30730 34440 35120 35998 36876 46095 49168 52680 53997 61460 68880 71996 73752 89995 92190 105360 107994 122920 125993 143992 147504 179990 184380 215988 245840 251986 269985 287984 359980 368760 377979 431976 503972 539970 629965 719960 737520 755958 863952 1007944 1079940 1259930 1439920 1511916 1889895 2015888 2159880 2519860 3023832 3779790 4319760 5039720 6047664 7559580 10079440 15119160 30238320