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29003364 = 223213292137
BaseRepresentation
bin110111010100…
…0111001100100
32000120112010200
41232220321210
524411101424
62513350500
7501344625
oct156507144
960515120
1029003364
111540a725
129868430
136016470
143bcda4c
15282d8c9
hex1ba8e64

29003364 has 72 divisors (see below), whose sum is σ = 81714360. Its totient is φ = 8612352.

The previous prime is 29003363. The next prime is 29003369. The reversal of 29003364 is 46330092.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 28836900 = 408^2 + 5370^2 .

It is not an unprimeable number, because it can be changed into a prime (29003363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12504 + ... + 14640.

Almost surely, 229003364 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 29003364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40857180).

29003364 is an abundant number, since it is smaller than the sum of its proper divisors (52710996).

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

29003364 is a wasteful number, since it uses less digits than its factorization.

29003364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 29003364 is about 5385.4771376360. The cubic root of 29003364 is about 307.2435617343.

The spelling of 29003364 in words is "twenty-nine million, three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2137 2262 3393 4274 4524 6411 6786 8548 12822 13572 19233 25644 27781 38466 55562 61973 76932 83343 111124 123946 166686 185919 247892 250029 333372 371838 500058 557757 743676 805649 1000116 1115514 1611298 2231028 2416947 3222596 4833894 7250841 9667788 14501682 29003364