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30238272 = 263419307
BaseRepresentation
bin111001101011…
…0011001000000
32002220021010000
41303112121000
530220111042
63000040000
7515010141
oct163263100
962807100
1030238272
1116083509
12a163000
13635958c
144031ac8
1529c474c
hex1cd6640

30238272 has 140 divisors (see below), whose sum is σ = 94660720. Its totient is φ = 9517824.

The previous prime is 30238259. The next prime is 30238283. The reversal of 30238272 is 27283203.

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

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 19 ways as a sum of consecutive naturals, for example, 98343 + ... + 98649.

It is an arithmetic number, because the mean of its divisors is an integer number (676148).

Almost surely, 230238272 is an apocalyptic number.

30238272 is a gapful number since it is divisible by the number (32) 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 30238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330360).

30238272 is an abundant number, since it is smaller than the sum of its proper divisors (64422448).

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

30238272 is a wasteful number, since it uses less digits than its factorization.

30238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30238272 is about 5498.9337148214. The cubic root of 30238272 is about 311.5437117191.

The spelling of 30238272 in words is "thirty million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 307 324 342 432 456 513 576 608 614 648 684 864 912 921 1026 1216 1228 1296 1368 1539 1728 1824 1842 2052 2456 2592 2736 2763 3078 3648 3684 4104 4912 5184 5472 5526 5833 6156 7368 8208 8289 9824 10944 11052 11666 12312 14736 16416 16578 17499 19648 22104 23332 24624 24867 29472 32832 33156 34998 44208 46664 49248 49734 52497 58944 66312 69996 88416 93328 98496 99468 104994 132624 139992 157491 176832 186656 198936 209988 265248 279984 314982 373312 397872 419976 472473 530496 559968 629964 795744 839952 944946 1119936 1259928 1591488 1679904 1889892 2519856 3359808 3779784 5039712 7559568 10079424 15119136 30238272