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2313024 = 26371721
BaseRepresentation
bin1000110100101101000000
311100111212120
420310231000
51043004044
6121324240
725442340
oct10645500
94314776
102313024
11133a89a
12936680
1362ca6c
14442d20
1530a519
hex234b40

2313024 has 56 divisors (see below), whose sum is σ = 6998208. Its totient is φ = 660480.

The previous prime is 2313007. The next prime is 2313053. The reversal of 2313024 is 4203132.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2312994 and 2313012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (124968).

22313024 is an apocalyptic number.

2313024 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 2313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499104).

2313024 is an abundant number, since it is smaller than the sum of its proper divisors (4685184).

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

2313024 is a wasteful number, since it uses less digits than its factorization.

2313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2313024 is about 1520.8629129544. The cubic root of 2313024 is about 132.2492993008.

Adding to 2313024 its reverse (4203132), we get a palindrome (6516156).

The spelling of 2313024 in words is "two million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1721 3442 5163 6884 10326 12047 13768 20652 24094 27536 36141 41304 48188 55072 72282 82608 96376 110144 144564 165216 192752 289128 330432 385504 578256 771008 1156512 2313024