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29212344 = 23327149389
BaseRepresentation
bin110111101101…
…1111010111000
32000222010210200
41233123322320
524434243334
62522042200
7503205120
oct157337270
960863720
1029212344
1115542737
129949360
13608a615
143c45c80
152870799
hex1bdbeb8

29212344 has 96 divisors (see below), whose sum is σ = 91260000. Its totient is φ = 8269056.

The previous prime is 29212321. The next prime is 29212349. The reversal of 29212344 is 44321292.

It is a super-2 number, since 2×292123442 = 1706722083948672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29212349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74902 + ... + 75290.

It is an arithmetic number, because the mean of its divisors is an integer number (950625).

Almost surely, 229212344 is an apocalyptic number.

29212344 is a gapful number since it is divisible by the number (24) 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 29212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45630000).

29212344 is an abundant number, since it is smaller than the sum of its proper divisors (62047656).

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

29212344 is a wasteful number, since it uses less digits than its factorization.

29212344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 29212344 is about 5404.8444936002. The cubic root of 29212344 is about 307.9797310550.

The spelling of 29212344 in words is "twenty-nine million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 389 447 504 596 778 894 1043 1167 1192 1341 1556 1788 2086 2334 2682 2723 3112 3129 3501 3576 4172 4668 5364 5446 6258 7002 8169 8344 9336 9387 10728 10892 12516 14004 16338 18774 21784 24507 25032 28008 32676 37548 49014 57961 65352 75096 98028 115922 173883 196056 231844 347766 405727 463688 521649 695532 811454 1043298 1217181 1391064 1622908 2086596 2434362 3245816 3651543 4173192 4868724 7303086 9737448 14606172 29212344