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4678344 = 2333112179
BaseRepresentation
bin10001110110001011001000
322210200111000
4101312023020
52144201334
6244135000
754523326
oct21661310
98720430
104678344
112705a00
121697460
13c7a568
1489ad16
15626299
hex4762c8

4678344 has 96 divisors (see below), whose sum is σ = 14364000. Its totient is φ = 1409760.

The previous prime is 4678343. The next prime is 4678381. The reversal of 4678344 is 4438764.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4678299 and 4678308.

It is not an unprimeable number, because it can be changed into a prime (4678343) 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, 26047 + ... + 26225.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

Almost surely, 24678344 is an apocalyptic number.

4678344 is a gapful number since it is divisible by the number (44) 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 4678344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182000).

4678344 is an abundant number, since it is smaller than the sum of its proper divisors (9685656).

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

4678344 is a wasteful number, since it uses less digits than its factorization.

4678344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4678344 is about 2162.9479882790. The cubic root of 4678344 is about 167.2492006638.

The spelling of 4678344 in words is "four million, six hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 179 198 216 242 264 297 358 363 396 484 537 594 716 726 792 968 1074 1089 1188 1432 1452 1611 1969 2148 2178 2376 2904 3222 3267 3938 4296 4356 4833 5907 6444 6534 7876 8712 9666 11814 12888 13068 15752 17721 19332 21659 23628 26136 35442 38664 43318 47256 53163 64977 70884 86636 106326 129954 141768 173272 194931 212652 259908 389862 425304 519816 584793 779724 1169586 1559448 2339172 4678344