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4129344 = 263267107
BaseRepresentation
bin1111110000001001000000
321202210101200
433300021000
52024114334
6224301200
750045622
oct17601100
97683350
104129344
11237048a
121471800
13b176cb
14796c12
15568799
hex3f0240

4129344 has 84 divisors (see below), whose sum is σ = 12124944. Its totient is φ = 1343232.

The previous prime is 4129343. The next prime is 4129361. The reversal of 4129344 is 4439214.

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

Its product of digits (3456) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (4129343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38539 + ... + 38645.

Almost surely, 24129344 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 4129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062472).

4129344 is an abundant number, since it is smaller than the sum of its proper divisors (7995600).

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

4129344 is a wasteful number, since it uses less digits than its factorization.

4129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4129344 is about 2032.0787386319. The cubic root of 4129344 is about 160.4329938368.

The spelling of 4129344 in words is "four million, one hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 107 134 144 192 201 214 268 288 321 402 428 536 576 603 642 804 856 963 1072 1206 1284 1608 1712 1926 2144 2412 2568 3216 3424 3852 4288 4824 5136 6432 6848 7169 7704 9648 10272 12864 14338 15408 19296 20544 21507 28676 30816 38592 43014 57352 61632 64521 86028 114704 129042 172056 229408 258084 344112 458816 516168 688224 1032336 1376448 2064672 4129344