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2334384 = 2432132943
BaseRepresentation
bin1000111001111010110000
311101121011200
420321322300
51044200014
6122011200
725561533
oct10717260
94347150
102334384
111354948
12946b00
136396c0
1444aa1a
15311a09
hex239eb0

2334384 has 120 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 677376.

The previous prime is 2334377. The next prime is 2334391. The reversal of 2334384 is 4834332.

2334384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2334377) and next prime (2334391).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54267 + ... + 54309.

It is an arithmetic number, because the mean of its divisors is an integer number (62062).

22334384 is an apocalyptic number.

2334384 is a gapful number since it is divisible by the number (24) 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 2334384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2334384 is an abundant number, since it is smaller than the sum of its proper divisors (5113056).

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

2334384 is a wasteful number, since it uses less digits than its factorization.

2334384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

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

The square root of 2334384 is about 1527.8691043411. The cubic root of 2334384 is about 132.6551451938.

The spelling of 2334384 in words is "two million, three hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 43 48 52 58 72 78 86 87 104 116 117 129 144 156 172 174 208 232 234 258 261 312 344 348 377 387 464 468 516 522 559 624 688 696 754 774 936 1032 1044 1118 1131 1247 1392 1508 1548 1677 1872 2064 2088 2236 2262 2494 3016 3096 3354 3393 3741 4176 4472 4524 4988 5031 6032 6192 6708 6786 7482 8944 9048 9976 10062 11223 13416 13572 14964 16211 18096 19952 20124 22446 26832 27144 29928 32422 40248 44892 48633 54288 59856 64844 80496 89784 97266 129688 145899 179568 194532 259376 291798 389064 583596 778128 1167192 2334384