Search a number
-
+
29224734 = 2371117612
BaseRepresentation
bin110111101111…
…0111100011110
32000222202210120
41233132330132
524440142414
62522215410
7503256210
oct157367436
960882716
1029224734
1115550a80
129954566
136093156
143c4a5b0
1528742a9
hex1bdef1e

29224734 has 96 divisors (see below), whose sum is σ = 78444288. Its totient is φ = 7027200.

The previous prime is 29224631. The next prime is 29224757. The reversal of 29224734 is 43742292.

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

It is a junction number, because it is equal to n+sod(n) for n = 29224695 and 29224704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479064 + ... + 479124.

It is an arithmetic number, because the mean of its divisors is an integer number (817128).

Almost surely, 229224734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29224734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39222144).

29224734 is an abundant number, since it is smaller than the sum of its proper divisors (49219554).

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

29224734 is a wasteful number, since it uses less digits than its factorization.

29224734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 29224734 is about 5405.9905660295. The cubic root of 29224734 is about 308.0232666406.

The spelling of 29224734 in words is "twenty-nine million, two hundred twenty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 61 66 77 102 119 122 154 183 187 231 238 357 366 374 427 462 561 671 714 854 1037 1122 1281 1309 1342 2013 2074 2562 2618 3111 3721 3927 4026 4697 6222 7259 7442 7854 9394 11163 11407 14091 14518 21777 22326 22814 26047 28182 34221 40931 43554 52094 63257 68442 78141 79849 81862 122793 126514 156282 159698 189771 239547 245586 286517 379542 442799 479094 573034 695827 859551 885598 1328397 1391654 1719102 2087481 2656794 4174962 4870789 9741578 14612367 29224734