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29000034 = 2327475983
BaseRepresentation
bin110111010100…
…0000101100010
32000120100120100
41232220011202
524411000114
62513323230
7501332130
oct156500542
960510510
1029000034
1115408178
129866516
136014aab
143bcc750
15282c909
hex1ba8162

29000034 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 7875936.

The previous prime is 28999991. The next prime is 29000039. The reversal of 29000034 is 43000092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 28999980 and 29000016.

It is not an unprimeable number, because it can be changed into a prime (29000039) 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 47 ways as a sum of consecutive naturals, for example, 349357 + ... + 349439.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 229000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

29000034 is an abundant number, since it is smaller than the sum of its proper divisors (46479006).

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

29000034 is a wasteful number, since it uses less digits than its factorization.

29000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29000034 is about 5385.1679639543. The cubic root of 29000034 is about 307.2318026361.

The spelling of 29000034 in words is "twenty-nine million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 47 59 63 83 94 118 126 141 166 177 249 282 329 354 413 423 498 531 581 658 747 826 846 987 1062 1162 1239 1494 1743 1974 2478 2773 2961 3486 3717 3901 4897 5229 5546 5922 7434 7802 8319 9794 10458 11703 14691 16638 19411 23406 24957 27307 29382 34279 35109 38822 44073 49914 54614 58233 68558 70218 81921 88146 102837 116466 163842 174699 205674 230159 245763 308511 349398 460318 491526 617022 690477 1380954 1611113 2071431 3222226 4142862 4833339 9666678 14500017 29000034