Search a number
-
+
304122112 = 2871767149
BaseRepresentation
bin10010001000001…
…000100100000000
3210012021000002221
4102020020210000
51110323401422
650102220424
710351665250
oct2210104400
9705230087
10304122112
1114673a498
1285a24714
134b012118
142c567960
151ba753c7
hex12208900

304122112 has 144 divisors (see below), whose sum is σ = 750556800. Its totient is φ = 120029184.

The previous prime is 304122103. The next prime is 304122139. The reversal of 304122112 is 211221403.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041014 + ... + 2041162.

It is an arithmetic number, because the mean of its divisors is an integer number (5212200).

Almost surely, 2304122112 is an apocalyptic number.

304122112 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 304122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375278400).

304122112 is an abundant number, since it is smaller than the sum of its proper divisors (446434688).

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

304122112 is a wasteful number, since it uses less digits than its factorization.

304122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 304122112 is about 17439.0972243405. The cubic root of 304122112 is about 672.4850994704.

Adding to 304122112 its reverse (211221403), we get a palindrome (515343515).

The spelling of 304122112 in words is "three hundred four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 67 68 112 119 128 134 136 149 224 238 256 268 272 298 448 469 476 536 544 596 896 938 952 1043 1072 1088 1139 1192 1792 1876 1904 2086 2144 2176 2278 2384 2533 3752 3808 4172 4288 4352 4556 4768 5066 7504 7616 7973 8344 8576 9112 9536 9983 10132 15008 15232 15946 16688 17152 17731 18224 19072 19966 20264 30016 30464 31892 33376 35462 36448 38144 39932 40528 60032 63784 66752 69881 70924 72896 79864 81056 120064 127568 133504 139762 141848 145792 159728 162112 169711 255136 267008 279524 283696 291584 319456 324224 339422 510272 559048 567392 638912 648448 678844 1020544 1118096 1134784 1187977 1277824 1357688 2041088 2236192 2269568 2375954 2555648 2715376 4472384 4539136 4751908 5430752 8944768 9503816 10861504 17889536 19007632 21723008 38015264 43446016 76030528 152061056 304122112