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34230384 = 2433175979
BaseRepresentation
bin1000001010010…
…1000001110000
32101102002021000
42002211001300
532230333014
63221402000
7563645016
oct202450160
971362230
1034230384
111835a881
12b569300
137126686
1447908b6
153012509
hex20a5070

34230384 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 10423296.

The previous prime is 34230377. The next prime is 34230389. The reversal of 34230384 is 48303243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34230389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433257 + ... + 433335.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 234230384 is an apocalyptic number.

34230384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

34230384 is an abundant number, since it is smaller than the sum of its proper divisors (72905616).

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

34230384 is a wasteful number, since it uses less digits than its factorization.

34230384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34230384 is about 5850.6738073490. The cubic root of 34230384 is about 324.6912539279.

The spelling of 34230384 in words is "thirty-four million, two hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 79 102 108 118 136 144 153 158 177 204 216 236 237 272 306 316 354 408 432 459 472 474 531 612 632 708 711 816 918 944 948 1003 1062 1224 1264 1343 1416 1422 1593 1836 1896 2006 2124 2133 2448 2686 2832 2844 3009 3186 3672 3792 4012 4029 4248 4266 4661 5372 5688 6018 6372 7344 8024 8058 8496 8532 9027 9322 10744 11376 12036 12087 12744 13983 16048 16116 17064 18054 18644 21488 24072 24174 25488 27081 27966 32232 34128 36108 36261 37288 41949 48144 48348 54162 55932 64464 72216 72522 74576 79237 83898 96696 108324 111864 125847 144432 145044 158474 167796 193392 216648 223728 237711 251694 290088 316948 335592 433296 475422 503388 580176 633896 671184 713133 950844 1006776 1267792 1426266 1901688 2013552 2139399 2852532 3803376 4278798 5705064 8557596 11410128 17115192 34230384