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29034720 = 25335111347
BaseRepresentation
bin110111011000…
…0100011100000
32000122010011000
41232300203200
524413102340
62514152000
7501535221
oct156604340
960563130
1029034720
1115431240
129882600
136027810
143bdb248
152837d30
hex1bb08e0

29034720 has 384 divisors, whose sum is σ = 121927680. Its totient is φ = 6359040.

The previous prime is 29034661. The next prime is 29034721. The reversal of 29034720 is 2743092.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29034721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 617737 + ... + 617783.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 229034720 is an apocalyptic number.

29034720 is a gapful number since it is divisible by the number (20) 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 29034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

29034720 is an abundant number, since it is smaller than the sum of its proper divisors (92892960).

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

29034720 is a wasteful number, since it uses less digits than its factorization.

29034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29034720 is about 5388.3875139043. The cubic root of 29034720 is about 307.3542438309.

The spelling of 29034720 in words is "twenty-nine million, thirty-four thousand, seven hundred twenty".