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29342430 = 23251331809
BaseRepresentation
bin110111111101…
…1101011011110
32001012202020200
41233323223132
530002424210
62524524330
7504256305
oct157735336
961182220
1029342430
1115621447
1299b06a6
1361048b0
143c7b43c
1528990c0
hex1bfbade

29342430 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 6981120.

The previous prime is 29342413. The next prime is 29342431. The reversal of 29342430 is 3424392.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29342394 and 29342403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29342431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35866 + ... + 36674.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 229342430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29342430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

29342430 is an abundant number, since it is smaller than the sum of its proper divisors (55571490).

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

29342430 is a wasteful number, since it uses less digits than its factorization.

29342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 29342430 is about 5416.8653296902. The cubic root of 29342430 is about 308.4362107804.

The spelling of 29342430 in words is "twenty-nine million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 809 930 1170 1209 1395 1618 2015 2418 2427 2790 3627 4030 4045 4854 6045 7254 7281 8090 10517 12090 12135 14562 18135 21034 24270 25079 31551 36270 36405 50158 52585 63102 72810 75237 94653 105170 125395 150474 157755 189306 225711 250790 315510 326027 376185 451422 473265 652054 752370 946530 978081 1128555 1630135 1956162 2257110 2934243 3260270 4890405 5868486 9780810 14671215 29342430