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111034368 = 21433251
BaseRepresentation
bin1101001111001…
…00000000000000
321201221010112000
412213210000000
5211411044433
615003504000
72515530234
oct647440000
9251833460
10111034368
1157748845
1231228000
131a008113
1410a645c4
159b34113
hex69e4000

111034368 has 120 divisors (see below), whose sum is σ = 330291360. Its totient is φ = 36864000.

The previous prime is 111034367. The next prime is 111034397. The reversal of 111034368 is 863430111.

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 (111034367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442243 + ... + 442493.

It is an arithmetic number, because the mean of its divisors is an integer number (2752428).

Almost surely, 2111034368 is an apocalyptic number.

111034368 is a gapful number since it is divisible by the number (18) 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 111034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165145680).

111034368 is an abundant number, since it is smaller than the sum of its proper divisors (219256992).

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

111034368 is an frugal number, since it uses more digits than its factorization.

111034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 111034368 is about 10537.2846597214. The cubic root of 111034368 is about 480.6391485579.

Adding to 111034368 its reverse (863430111), we get a palindrome (974464479).

The spelling of 111034368 in words is "one hundred eleven million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 251 256 288 384 432 502 512 576 753 768 864 1004 1024 1152 1506 1536 1728 2008 2048 2259 2304 3012 3072 3456 4016 4096 4518 4608 6024 6144 6777 6912 8032 8192 9036 9216 12048 12288 13554 13824 16064 16384 18072 18432 24096 24576 27108 27648 32128 36144 36864 48192 49152 54216 55296 64256 72288 73728 96384 108432 110592 128512 144576 147456 192768 216864 221184 257024 289152 385536 433728 442368 514048 578304 771072 867456 1028096 1156608 1542144 1734912 2056192 2313216 3084288 3469824 4112384 4626432 6168576 6939648 9252864 12337152 13879296 18505728 27758592 37011456 55517184 111034368