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12334960 = 24511107131
BaseRepresentation
bin101111000011…
…011101110000
3212012200101101
4233003131300
511124204320
61120214144
7206562661
oct57033560
925180341
1012334960
116a65490
12416a354
13272b5c1
1418d1368
151139c0a
hexbc3770

12334960 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 4409600.

The previous prime is 12334943. The next prime is 12334991. The reversal of 12334960 is 6943321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 94095 + ... + 94225.

Almost surely, 212334960 is an apocalyptic number.

12334960 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 12334960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

12334960 is an abundant number, since it is smaller than the sum of its proper divisors (19484432).

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

12334960 is a wasteful number, since it uses less digits than its factorization.

12334960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 12334960 is about 3512.1161711994. The cubic root of 12334960 is about 231.0535160830.

The spelling of 12334960 in words is "twelve million, three hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 131 176 214 220 262 428 440 524 535 655 856 880 1048 1070 1177 1310 1441 1712 2096 2140 2354 2620 2882 4280 4708 5240 5764 5885 7205 8560 9416 10480 11528 11770 14017 14410 18832 23056 23540 28034 28820 47080 56068 57640 70085 94160 112136 115280 140170 154187 224272 280340 308374 560680 616748 770935 1121360 1233496 1541870 2466992 3083740 6167480 12334960