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2323680 = 253547103
BaseRepresentation
bin1000110111010011100000
311101001111020
420313103200
51043324210
6121445440
725515402
oct10672340
94331436
102323680
1113478a7
12940880
13634878
14446b72
1530d770
hex2374e0

2323680 has 96 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 600576.

The previous prime is 2323669. The next prime is 2323691. The reversal of 2323680 is 863232.

2323680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2323669) and next prime (2323691).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2323680.

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, 22509 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

22323680 is an apocalyptic number.

2323680 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 2323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2323680 is an abundant number, since it is smaller than the sum of its proper divisors (5224224).

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

2323680 is a wasteful number, since it uses less digits than its factorization.

2323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2323680 is about 1524.3621616926. The cubic root of 2323680 is about 132.4520771275.

It can be divided in two parts, 2323 and 680, that added together give a palindrome (3003).

The spelling of 2323680 in words is "two million, three hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 103 120 141 160 188 206 235 240 282 309 376 412 470 480 515 564 618 705 752 824 940 1030 1128 1236 1410 1504 1545 1648 1880 2060 2256 2472 2820 3090 3296 3760 4120 4512 4841 4944 5640 6180 7520 8240 9682 9888 11280 12360 14523 16480 19364 22560 24205 24720 29046 38728 48410 49440 58092 72615 77456 96820 116184 145230 154912 193640 232368 290460 387280 464736 580920 774560 1161840 2323680