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29340288 = 273225469
BaseRepresentation
bin110111111101…
…1001010000000
32001012122022100
41233323022000
530002342123
62524510400
7504250125
oct157731200
961178270
1029340288
111561a87a
1299ab400
136103923
143c7a74c
152898643
hex1bfb280

29340288 has 48 divisors (see below), whose sum is σ = 84433050. Its totient is φ = 9779712.

The previous prime is 29340277. The next prime is 29340343. The reversal of 29340288 is 88204392.

It can be written as a sum of positive squares in only one way, i.e., 21455424 + 7884864 = 4632^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

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 5 ways as a sum of consecutive naturals, for example, 11583 + ... + 13886.

Almost surely, 229340288 is an apocalyptic number.

It is an amenable number.

29340288 is an abundant number, since it is smaller than the sum of its proper divisors (55092762).

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

29340288 is a wasteful number, since it uses less digits than its factorization.

29340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25489 (or 25474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 29340288 is about 5416.6676102563. The cubic root of 29340288 is about 308.4287053075.

The spelling of 29340288 in words is "twenty-nine million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25469 50938 76407 101876 152814 203752 229221 305628 407504 458442 611256 815008 916884 1222512 1630016 1833768 2445024 3260032 3667536 4890048 7335072 9780096 14670144 29340288