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2325024 = 25351323
BaseRepresentation
bin1000110111101000100000
311101010100000
420313220200
51043400044
6121500000
725522332
oct10675040
94333300
102325024
111348909
12941600
13635370
14447452
1530dd69
hex237a20

2325024 has 144 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 684288.

The previous prime is 2325023. The next prime is 2325061. The reversal of 2325024 is 4205232.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 211 + 35 + 217 + 57 + 0 + 221 + 47 .

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 2324988 and 2325006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325023) 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, 101077 + ... + 101099.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

22325024 is an apocalyptic number.

2325024 is a gapful number since it is divisible by the number (24) 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 2325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2325024 is an abundant number, since it is smaller than the sum of its proper divisors (5380128).

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

2325024 is a wasteful number, since it uses less digits than its factorization.

2325024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2325024 is about 1524.8029380874. The cubic root of 2325024 is about 132.4776086525.

The spelling of 2325024 in words is "two million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 69 72 78 81 92 96 104 108 117 138 144 156 162 184 207 208 216 234 243 276 288 299 312 324 351 368 414 416 432 468 486 552 598 621 624 648 702 736 828 864 897 936 972 1053 1104 1196 1242 1248 1296 1404 1656 1794 1863 1872 1944 2106 2208 2392 2484 2592 2691 2808 3159 3312 3588 3726 3744 3888 4212 4784 4968 5382 5589 5616 6318 6624 7176 7452 7776 8073 8424 9568 9936 10764 11178 11232 12636 14352 14904 16146 16848 19872 21528 22356 24219 25272 28704 29808 32292 33696 43056 44712 48438 50544 59616 64584 72657 86112 89424 96876 101088 129168 145314 178848 193752 258336 290628 387504 581256 775008 1162512 2325024