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4339296 = 2532131961
BaseRepresentation
bin10000100011011001100000
322011110101200
4100203121200
52102324141
6233001200
751612003
oct20433140
98143350
104339296
1124a41a5
121553200
13b8c140
1480d53a
155aaab6
hex423660

4339296 has 144 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1244160.

The previous prime is 4339289. The next prime is 4339297. The reversal of 4339296 is 6929334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 44 + 37 + 313 + 96 + 25 + 96 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 4339296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4339297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71106 + ... + 71166.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

Almost surely, 24339296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4339296 is an abundant number, since it is smaller than the sum of its proper divisors (9878544).

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

4339296 is a wasteful number, since it uses less digits than its factorization.

4339296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4339296 is about 2083.0976933404. The cubic root of 4339296 is about 163.1071848250.

The spelling of 4339296 in words is "four million, three hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 61 72 76 78 96 104 114 117 122 144 152 156 171 183 208 228 234 244 247 288 304 312 342 366 416 456 468 488 494 549 608 624 684 732 741 793 912 936 976 988 1098 1159 1248 1368 1464 1482 1586 1824 1872 1952 1976 2196 2223 2318 2379 2736 2928 2964 3172 3477 3744 3952 4392 4446 4636 4758 5472 5856 5928 6344 6954 7137 7904 8784 8892 9272 9516 10431 11856 12688 13908 14274 15067 17568 17784 18544 19032 20862 23712 25376 27816 28548 30134 35568 37088 38064 41724 45201 55632 57096 60268 71136 76128 83448 90402 111264 114192 120536 135603 166896 180804 228384 241072 271206 333792 361608 482144 542412 723216 1084824 1446432 2169648 4339296