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29340896 = 2513251281
BaseRepresentation
bin110111111101…
…1010011100000
32001012200010212
41233323103200
530002402041
62524513252
7504251654
oct157732340
961180125
1029340896
1115620282
1299ab828
136103ca0
143c7aa64
1528988eb
hex1bfb4e0

29340896 has 48 divisors (see below), whose sum is σ = 62678448. Its totient is φ = 13440000.

The previous prime is 29340887. The next prime is 29340907. The reversal of 29340896 is 69804392.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104276 + ... + 104556.

It is an arithmetic number, because the mean of its divisors is an integer number (1305801).

Almost surely, 229340896 is an apocalyptic number.

29340896 is a gapful number since it is divisible by the number (26) 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 29340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31339224).

29340896 is an abundant number, since it is smaller than the sum of its proper divisors (33337552).

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

29340896 is a wasteful number, since it uses less digits than its factorization.

29340896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 29340896 is about 5416.7237330327. The cubic root of 29340896 is about 308.4308357496.

The spelling of 29340896 in words is "twenty-nine million, three hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 281 416 502 562 1004 1124 2008 2248 3263 3653 4016 4496 6526 7306 8032 8992 13052 14612 26104 29224 52208 58448 70531 104416 116896 141062 282124 564248 916903 1128496 1833806 2256992 3667612 7335224 14670448 29340896