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12334280 = 235732931
BaseRepresentation
bin101111000011…
…010011001000
3212012122110012
4233003103020
511124144110
61120211052
7206561000
oct57032310
925178405
1012334280
116a64a22
124169a88
13272b1ba
1418d1000
151139905
hexbc34c8

12334280 has 128 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 3951360.

The previous prime is 12334277. The next prime is 12334307. The reversal of 12334280 is 8243321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397865 + ... + 397895.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 212334280 is an apocalyptic number.

12334280 is a gapful number since it is divisible by the number (10) 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 12334280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

12334280 is an abundant number, since it is smaller than the sum of its proper divisors (22225720).

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

12334280 is a wasteful number, since it uses less digits than its factorization.

12334280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12334280 is about 3512.0193621334. The cubic root of 12334280 is about 231.0492701760.

The spelling of 12334280 in words is "twelve million, three hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 31 35 40 49 56 58 62 70 98 116 124 140 145 155 196 203 217 232 245 248 280 290 310 343 392 406 434 490 580 620 686 812 868 899 980 1015 1085 1160 1240 1372 1421 1519 1624 1715 1736 1798 1960 2030 2170 2744 2842 3038 3430 3596 4060 4340 4495 5684 6076 6293 6860 7105 7192 7595 8120 8680 8990 9947 10633 11368 12152 12586 13720 14210 15190 17980 19894 21266 25172 28420 30380 31465 35960 39788 42532 44051 49735 50344 53165 56840 60760 62930 79576 85064 88102 99470 106330 125860 176204 198940 212660 220255 251720 308357 352408 397880 425320 440510 616714 881020 1233428 1541785 1762040 2466856 3083570 6167140 12334280