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2321432124 = 2231123375479
BaseRepresentation
bin1000101001011110…
…0011111000111100
312222210011222012120
42022113203320330
514223241311444
61022204202540
7111345563454
oct21227437074
95883158176
102321432124
11a9142a350
12549539450
132acc3a39b
1418044ad64
15d8c06b19
hex8a5e3e3c

2321432124 has 48 divisors (see below), whose sum is σ = 5934539520. Its totient is φ = 700435840.

The previous prime is 2321432119. The next prime is 2321432129. The reversal of 2321432124 is 4212341232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2321432119) and next prime (2321432129).

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 = 2321432094 and 2321432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321432129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6984 + ... + 68495.

It is an arithmetic number, because the mean of its divisors is an integer number (123636240).

Almost surely, 22321432124 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 2321432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967269760).

2321432124 is an abundant number, since it is smaller than the sum of its proper divisors (3613107396).

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

2321432124 is a wasteful number, since it uses less digits than its factorization.

2321432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75730 (or 75728 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2321432124 is about 48181.2424497335. The cubic root of 2321432124 is about 1324.0935295659.

Adding to 2321432124 its reverse (4212341232), we get a palindrome (6533773356).

The spelling of 2321432124 in words is "two billion, three hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1398 2563 2796 5126 7689 10252 15378 30756 75479 150958 226437 301916 452874 830269 905748 1660538 2490807 3321076 4981614 9963228 17586607 35173214 52759821 70346428 105519642 193452677 211039284 386905354 580358031 773810708 1160716062 2321432124