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29334096 = 2433116173
BaseRepresentation
bin110111111100…
…1101001010000
32001012022211000
41233321221100
530002142341
62524422000
7504223101
oct157715120
961168730
1029334096
1115616160
1299a7900
136100b6c
143c783a8
1528968b6
hex1bf9a50

29334096 has 80 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 8887680.

The previous prime is 29334073. The next prime is 29334113. The reversal of 29334096 is 69043392.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29334096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666 + ... + 7838.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 229334096 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 29334096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

29334096 is an abundant number, since it is smaller than the sum of its proper divisors (62535024).

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

29334096 is a wasteful number, since it uses less digits than its factorization.

29334096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 29334096 is about 5416.0960109658. The cubic root of 29334096 is about 308.4070067599.

The spelling of 29334096 in words is "twenty-nine million, three hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 6173 12346 18519 24692 37038 49384 55557 67903 74076 98768 111114 135806 148152 166671 203709 222228 271612 296304 333342 407418 444456 543224 611127 666684 814836 888912 1086448 1222254 1333368 1629672 1833381 2444508 2666736 3259344 3666762 4889016 7333524 9778032 14667048 29334096