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30385446 = 237131929101
BaseRepresentation
bin111001111101…
…0010100100110
32010011201222220
41303322110212
530234313241
63003133210
7516162210
oct163722446
963151886
1030385446
1116174043
12a214206
1363ab570
14406d5b0
152a03166
hex1cfa526

30385446 has 128 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 7257600.

The previous prime is 30385423. The next prime is 30385451. The reversal of 30385446 is 64458303.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300796 + ... + 300896.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 230385446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30385446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

30385446 is an abundant number, since it is smaller than the sum of its proper divisors (51867354).

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

30385446 is a wasteful number, since it uses less digits than its factorization.

30385446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 30385446 is about 5512.2995201640. The cubic root of 30385446 is about 312.0483365282.

The spelling of 30385446 in words is "thirty million, three hundred eighty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 29 38 39 42 57 58 78 87 91 101 114 133 174 182 202 203 247 266 273 303 377 399 406 494 546 551 606 609 707 741 754 798 1102 1131 1218 1313 1414 1482 1653 1729 1919 2121 2262 2626 2639 2929 3306 3458 3838 3857 3939 4242 5187 5278 5757 5858 7163 7714 7878 7917 8787 9191 10374 11514 11571 13433 14326 15834 17574 18382 20503 21489 23142 24947 26866 27573 38077 40299 41006 42978 49894 50141 55146 55651 61509 74841 76154 80598 100282 111302 114231 123018 149682 150423 166953 174629 228462 266539 300846 333906 349258 389557 523887 533078 723463 779114 799617 1047774 1168671 1446926 1599234 2170389 2337342 4340778 5064241 10128482 15192723 30385446