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4328352 = 2532719113
BaseRepresentation
bin10000100000101110100000
322010220101100
4100200232200
52102001402
6232434400
751535050
oct20405640
98126340
104328352
112496a56
121548a00
13b87172
14809560
155a771c
hex420ba0

4328352 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1161216.

The previous prime is 4328341. The next prime is 4328407. The reversal of 4328352 is 2538234.

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

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

Its product of digits (5760) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38248 + ... + 38360.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 24328352 is an apocalyptic number.

4328352 is a gapful number since it is divisible by the number (42) 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 4328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4328352 is an abundant number, since it is smaller than the sum of its proper divisors (10610208).

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

4328352 is a wasteful number, since it uses less digits than its factorization.

4328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4328352 is about 2080.4691778539. The cubic root of 4328352 is about 162.9699469102.

The spelling of 4328352 in words is "four million, three hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 113 114 126 133 144 152 168 171 224 226 228 252 266 288 304 336 339 342 399 452 456 504 532 608 672 678 684 791 798 904 912 1008 1017 1064 1197 1356 1368 1582 1596 1808 1824 2016 2034 2128 2147 2373 2394 2712 2736 3164 3192 3616 4068 4256 4294 4746 4788 5424 5472 6328 6384 6441 7119 8136 8588 9492 9576 10848 12656 12768 12882 14238 15029 16272 17176 18984 19152 19323 25312 25764 28476 30058 32544 34352 37968 38304 38646 45087 51528 56952 60116 68704 75936 77292 90174 103056 113904 120232 135261 154584 180348 206112 227808 240464 270522 309168 360696 480928 541044 618336 721392 1082088 1442784 2164176 4328352