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12034008 = 233472379
BaseRepresentation
bin101101111001…
…111111011000
3211122101120000
4231321333120
511040042013
61105533000
7204200400
oct55717730
924571500
1012034008
11687a368
124044160
13265461c
141853800
1510ca973
hexb79fd8

12034008 has 120 divisors (see below), whose sum is σ = 39312900. Its totient is φ = 3429216.

The previous prime is 12033997. The next prime is 12034013. The reversal of 12034008 is 80043021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31563 + ... + 31941.

Almost surely, 212034008 is an apocalyptic number.

12034008 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 12034008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656450).

12034008 is an abundant number, since it is smaller than the sum of its proper divisors (27278892).

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

12034008 is a wasteful number, since it uses less digits than its factorization.

12034008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12034008 is about 3469.0067742799. The cubic root of 12034008 is about 229.1589192018.

Adding to 12034008 its reverse (80043021), we get a palindrome (92077029).

The spelling of 12034008 in words is "twelve million, thirty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 379 392 441 504 567 588 648 756 758 882 1134 1137 1176 1323 1512 1516 1764 2268 2274 2646 2653 3032 3411 3528 3969 4536 4548 5292 5306 6822 7938 7959 9096 10233 10584 10612 13644 15876 15918 18571 20466 21224 23877 27288 30699 31752 31836 37142 40932 47754 55713 61398 63672 71631 74284 81864 95508 111426 122796 143262 148568 167139 191016 214893 222852 245592 286524 334278 429786 445704 501417 573048 668556 859572 1002834 1337112 1504251 1719144 2005668 3008502 4011336 6017004 12034008