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4320768 = 2932997
BaseRepresentation
bin10000011110111000000000
322010111222110
4100132320000
52101231033
6232335320
751503664
oct20367000
98114873
104320768
112491291
121544540
13b8388a
148068a4
155a5363
hex41ee00

4320768 has 80 divisors (see below), whose sum is σ = 12030480. Its totient is φ = 1376256.

The previous prime is 4320761. The next prime is 4320787. The reversal of 4320768 is 8670234.

It is a super-2 number, since 2×43207682 = 37338072219648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44496 + ... + 44592.

It is an arithmetic number, because the mean of its divisors is an integer number (150381).

Almost surely, 24320768 is an apocalyptic number.

4320768 is a gapful number since it is divisible by the number (48) 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 4320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015240).

4320768 is an abundant number, since it is smaller than the sum of its proper divisors (7709712).

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

4320768 is an equidigital number, since it uses as much as digits as its factorization.

4320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4320768 is about 2078.6457129583. The cubic root of 4320768 is about 162.8747076865.

The spelling of 4320768 in words is "four million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 128 174 192 194 232 256 291 348 384 388 464 512 582 696 768 776 928 1164 1392 1536 1552 1856 2328 2784 2813 3104 3712 4656 5568 5626 6208 7424 8439 9312 11136 11252 12416 14848 16878 18624 22272 22504 24832 33756 37248 44544 45008 49664 67512 74496 90016 135024 148992 180032 270048 360064 540096 720128 1080192 1440256 2160384 4320768