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29354430 = 23572191051
BaseRepresentation
bin110111111111…
…0100110111110
32001020100201010
41233332212332
530003320210
62525100050
7504336300
oct157764676
961210633
1029354430
111562a466
1299b7626
13610a1b1
143c81970
15289c920
hex1bfe9be

29354430 has 96 divisors (see below), whose sum is σ = 86348160. Its totient is φ = 6350400.

The previous prime is 29354407. The next prime is 29354443. The reversal of 29354430 is 3445392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 27405 + ... + 28455.

It is an arithmetic number, because the mean of its divisors is an integer number (899460).

Almost surely, 229354430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29354430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43174080).

29354430 is an abundant number, since it is smaller than the sum of its proper divisors (56993730).

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

29354430 is a wasteful number, since it uses less digits than its factorization.

29354430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 29354430 is about 5417.9728681491. The cubic root of 29354430 is about 308.4782514940.

The spelling of 29354430 in words is "twenty-nine million, three hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1051 1330 1470 1862 1995 2102 2793 3153 3990 4655 5255 5586 6306 7357 9310 10510 13965 14714 15765 19969 22071 27930 31530 36785 39938 44142 51499 59907 73570 99845 102998 110355 119814 139783 154497 199690 220710 257495 279566 299535 308994 419349 514990 599070 698915 772485 838698 978481 1397830 1544970 1956962 2096745 2935443 4193490 4892405 5870886 9784810 14677215 29354430