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120304034304 = 293293976803
BaseRepresentation
bin111000000001010101…
…1011110001000000000
3102111112012021011011020
41300002223132020000
53432340313044204
6131133352545440
711456150263536
oct1600253361000
9374465234136
10120304034304
1147025544643
121b3956b2280
13b46319851c
145b7388a156
1531e1a0ebd9
hex1c02ade200

120304034304 has 160 divisors (see below), whose sum is σ = 332433097920. Its totient is φ = 38615334912.

The previous prime is 120304034273. The next prime is 120304034359. The reversal of 120304034304 is 403430403021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 17680567 + ... + 17687369.

It is an arithmetic number, because the mean of its divisors is an integer number (2077706862).

Almost surely, 2120304034304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120304034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166216548960).

120304034304 is an abundant number, since it is smaller than the sum of its proper divisors (212129063616).

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

120304034304 is an equidigital number, since it uses as much as digits as its factorization.

120304034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 120304034304 its reverse (403430403021), we get a palindrome (523734437325).

The spelling of 120304034304 in words is "one hundred twenty billion, three hundred four million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 397 464 512 696 768 794 928 1191 1392 1536 1588 1856 2382 2784 3176 3712 4764 5568 6352 6803 7424 9528 11136 11513 12704 13606 14848 19056 20409 22272 23026 25408 27212 34539 38112 40818 44544 46052 50816 54424 69078 76224 81636 92104 101632 108848 138156 152448 163272 184208 197287 203264 217696 276312 304896 326544 368416 394574 435392 552624 591861 609792 653088 736832 789148 870784 1105248 1183722 1306176 1473664 1578296 1741568 2210496 2367444 2612352 2700791 2947328 3156592 3483136 4420992 4734888 5224704 5401582 5894656 6313184 8102373 8841984 9469776 10449408 10803164 12626368 16204746 17683968 18939552 21606328 25252736 32409492 37879104 43212656 50505472 64818984 75758208 78322939 86425312 101010944 129637968 151516416 156645878 172850624 234968817 259275936 303032832 313291756 345701248 469937634 518551872 626583512 691402496 939875268 1037103744 1253167024 1382804992 1879750536 2074207488 2506334048 3759501072 4148414976 5012668096 7519002144 10025336192 15038004288 20050672384 30076008576 40101344768 60152017152 120304034304