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30843072 = 2633131373
BaseRepresentation
bin111010110101…
…0000011000000
32011000222202000
41311222003000
530343434242
63021024000
7523106331
oct165520300
964028660
1030843072
1116456947
12a3b5000
13650b950
14414c288
152a93a4c
hex1d6a0c0

30843072 has 112 divisors (see below), whose sum is σ = 97718880. Its totient is φ = 9483264.

The previous prime is 30843067. The next prime is 30843073. The reversal of 30843072 is 27034803.

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

It is not an unprimeable number, because it can be changed into a prime (30843073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21778 + ... + 23150.

It is an arithmetic number, because the mean of its divisors is an integer number (872490).

Almost surely, 230843072 is an apocalyptic number.

30843072 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 30843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48859440).

30843072 is an abundant number, since it is smaller than the sum of its proper divisors (66875808).

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

30843072 is a wasteful number, since it uses less digits than its factorization.

30843072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1391 counting only the distinct ones).

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

The square root of 30843072 is about 5553.6539323224. The cubic root of 30843072 is about 313.6070923705.

Adding to 30843072 its reverse (27034803), we get a palindrome (57877875).

The spelling of 30843072 in words is "thirty million, eight hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1373 1404 1728 1872 2496 2746 2808 3744 4119 5492 5616 7488 8238 10984 11232 12357 16476 17849 21968 22464 24714 32952 35698 37071 43936 49428 53547 65904 71396 74142 87872 98856 107094 131808 142792 148284 160641 197712 214188 263616 285584 296568 321282 395424 428376 481923 571168 593136 642564 790848 856752 963846 1142336 1186272 1285128 1713504 1927692 2372544 2570256 3427008 3855384 5140512 7710768 10281024 15421536 30843072