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4412304 = 2432132357
BaseRepresentation
bin10000110101001110010000
322022011112200
4100311032100
52112143204
6234323200
752334601
oct20651620
98264480
104412304
112544036
121589500
13bb6440
1482bda8
155c2539
hex435390

4412304 has 60 divisors (see below), whose sum is σ = 13303836. Its totient is φ = 1357056.

The previous prime is 4412293. The next prime is 4412327. The reversal of 4412304 is 4032144.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 3686400 = 852^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 3050.

Almost surely, 24412304 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 4412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651918).

4412304 is an abundant number, since it is smaller than the sum of its proper divisors (8891532).

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

4412304 is a wasteful number, since it uses less digits than its factorization.

4412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4412304 is about 2100.5484997971. The cubic root of 4412304 is about 164.0168533146.

Adding to 4412304 its reverse (4032144), we get a palindrome (8444448).

It can be divided in two parts, 441 and 2304, that multiplied together give a square (1016064 = 10082).

The spelling of 4412304 in words is "four million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2357 4714 7071 9428 14142 18856 21213 28284 30641 37712 42426 56568 61282 84852 91923 113136 122564 169704 183846 245128 275769 339408 367692 490256 551538 735384 1103076 1470768 2206152 4412304