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2323320 = 2335191019
BaseRepresentation
bin1000110111001101111000
311101000222220
420313031320
51043321240
6121444040
725514346
oct10671570
94330886
102323320
1113475aa
12940620
1363465c
14446996
1530d5d0
hex237378

2323320 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 586368.

The previous prime is 2323313. The next prime is 2323331. The reversal of 2323320 is 233232.

2323320 = T485 + T486 + ... + T503.

2323320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2323320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

22323320 is an apocalyptic number.

2323320 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 2323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2323320 is an abundant number, since it is smaller than the sum of its proper divisors (5020680).

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

2323320 is a wasteful number, since it uses less digits than its factorization.

2323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2323320 is about 1524.2440749434. The cubic root of 2323320 is about 132.4452366546.

Adding to 2323320 its reverse (233232), we get a palindrome (2556552).

The spelling of 2323320 in words is "two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1019 1140 2038 2280 3057 4076 5095 6114 8152 10190 12228 15285 19361 20380 24456 30570 38722 40760 58083 61140 77444 96805 116166 122280 154888 193610 232332 290415 387220 464664 580830 774440 1161660 2323320