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29534406 = 23112172393
BaseRepresentation
bin111000010101…
…0100011000110
32001120111120220
41300222203012
530030100111
62533005210
7506016066
oct160524306
961514526
1029534406
1115742700
129a83806
1361710a5
143ccb3a6
1528d5e06
hex1c2a8c6

29534406 has 48 divisors (see below), whose sum is σ = 68774832. Its totient is φ = 8419840.

The previous prime is 29534357. The next prime is 29534411. The reversal of 29534406 is 60443592.

It is a super-2 number, since 2×295344062 = 1744562275545672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11146 + ... + 13538.

It is an arithmetic number, because the mean of its divisors is an integer number (1432809).

Almost surely, 229534406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29534406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34387416).

29534406 is an abundant number, since it is smaller than the sum of its proper divisors (39240426).

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

29534406 is a wasteful number, since it uses less digits than its factorization.

29534406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 29534406 is about 5434.5566516506. The cubic root of 29534406 is about 309.1074081211.

Adding to 29534406 its reverse (60443592), we get a palindrome (89977998).

It can be divided in two parts, 29 and 534406, that added together give a palindrome (534435).

The spelling of 29534406 in words is "twenty-nine million, five hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 2393 4114 4786 6171 7179 12342 14358 26323 40681 52646 78969 81362 122043 157938 244086 289553 447491 579106 868659 894982 1342473 1737318 2684946 4922401 9844802 14767203 29534406