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23424324 = 223711101251
BaseRepresentation
bin101100101011…
…0110101000100
31122002002010120
41121112311010
521444034244
62154021540
7403050330
oct131266504
948062116
1023424324
111224a050
127a178b0
134b11c61
14317a7c0
1520ca819
hex1656d44

23424324 has 96 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 6000000.

The previous prime is 23424319. The next prime is 23424329. The reversal of 23424324 is 42342432.

It is an interprime number because it is at equal distance from previous prime (23424319) and next prime (23424329).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23424294 and 23424303.

It is not an unprimeable number, because it can be changed into a prime (23424329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93199 + ... + 93449.

It is an arithmetic number, because the mean of its divisors is an integer number (719712).

Almost surely, 223424324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176).

23424324 is an abundant number, since it is smaller than the sum of its proper divisors (45668028).

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

23424324 is a wasteful number, since it uses less digits than its factorization.

23424324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 23424324 is about 4839.8681800231. The cubic root of 23424324 is about 286.1249230130.

Adding to 23424324 its reverse (42342432), we get a palindrome (65766756).

It can be divided in two parts, 2342 and 4324, that added together give a palindrome (6666).

The spelling of 23424324 in words is "twenty-three million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 251 303 308 404 462 502 606 707 753 924 1004 1111 1212 1414 1506 1757 2121 2222 2761 2828 3012 3333 3514 4242 4444 5271 5522 6666 7028 7777 8283 8484 10542 11044 13332 15554 16566 19327 21084 23331 25351 31108 33132 38654 46662 50702 57981 76053 77308 93324 101404 115962 152106 177457 231924 278861 304212 354914 532371 557722 709828 836583 1064742 1115444 1673166 1952027 2129484 3346332 3904054 5856081 7808108 11712162 23424324