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2304120 = 2335713211
BaseRepresentation
bin1000110010100001111000
311100001122210
420302201320
51042212440
6121215120
725404360
oct10624170
94301583
102304120
111334135
129314a0
136289b0
1443d9a0
15307a80
hex232878

2304120 has 128 divisors (see below), whose sum is σ = 8547840. Its totient is φ = 483840.

The previous prime is 2304103. The next prime is 2304139. The reversal of 2304120 is 214032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2304096 and 2304105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10815 + ... + 11025.

It is an arithmetic number, because the mean of its divisors is an integer number (66780).

22304120 is an apocalyptic number.

2304120 is a gapful number since it is divisible by the number (20) 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 2304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273920).

2304120 is an abundant number, since it is smaller than the sum of its proper divisors (6243720).

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

2304120 is a wasteful number, since it uses less digits than its factorization.

2304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2304120 is about 1517.9328048369. The cubic root of 2304120 is about 132.0793829210.

Adding to 2304120 its reverse (214032), we get a palindrome (2518152).

The spelling of 2304120 in words is "two million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 211 260 273 280 312 364 390 420 422 455 520 546 633 728 780 840 844 910 1055 1092 1266 1365 1477 1560 1688 1820 2110 2184 2532 2730 2743 2954 3165 3640 4220 4431 5064 5460 5486 5908 6330 7385 8229 8440 8862 10920 10972 11816 12660 13715 14770 16458 17724 19201 21944 22155 25320 27430 29540 32916 35448 38402 41145 44310 54860 57603 59080 65832 76804 82290 88620 96005 109720 115206 153608 164580 177240 192010 230412 288015 329160 384020 460824 576030 768040 1152060 2304120