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4121304 = 2331167233
BaseRepresentation
bin1111101110001011011000
321202101100220
433232023120
52023340204
6224200040
750013315
oct17561330
97671326
104121304
112365440
121469020
13b13b55
14793d0c
155661d9
hex3ee2d8

4121304 has 64 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 1224960.

The previous prime is 4121297. The next prime is 4121311. The reversal of 4121304 is 4031214.

It is an interprime number because it is at equal distance from previous prime (4121297) and next prime (4121311).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17572 + ... + 17804.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 24121304 is an apocalyptic number.

4121304 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 4121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

4121304 is an abundant number, since it is smaller than the sum of its proper divisors (7335336).

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

4121304 is a wasteful number, since it uses less digits than its factorization.

4121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4121304 is about 2030.0995049504. The cubic root of 4121304 is about 160.3288030074.

Adding to 4121304 its reverse (4031214), we get a palindrome (8152518).

The spelling of 4121304 in words is "four million, one hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 233 264 268 402 466 536 699 737 804 932 1398 1474 1608 1864 2211 2563 2796 2948 4422 5126 5592 5896 7689 8844 10252 15378 15611 17688 20504 30756 31222 46833 61512 62444 93666 124888 171721 187332 343442 374664 515163 686884 1030326 1373768 2060652 4121304