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2432234232 = 23321913912791
BaseRepresentation
bin1001000011111000…
…1111001011111000
320021111200022010100
42100332033023320
514440122443412
61041203115400
7114162435621
oct22076171370
96244608110
102432234232
111038a2963a
1257a672b60
132c9b9386c
14191050a48
15e37e1edc
hex90f8f2f8

2432234232 has 96 divisors (see below), whose sum is σ = 6984432000. Its totient is φ = 762488640.

The previous prime is 2432234197. The next prime is 2432234237. The reversal of 2432234232 is 2324322342.

It is a happy number.

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 = 2432234196 and 2432234205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432234237) 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 23 ways as a sum of consecutive naturals, for example, 183757 + ... + 196547.

It is an arithmetic number, because the mean of its divisors is an integer number (72754500).

Almost surely, 22432234232 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 2432234232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492216000).

2432234232 is an abundant number, since it is smaller than the sum of its proper divisors (4552197768).

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

2432234232 is a wasteful number, since it uses less digits than its factorization.

2432234232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12954 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 2432234232 is about 49317.6868070675. The cubic root of 2432234232 is about 1344.8333347011.

Adding to 2432234232 its reverse (2324322342), we get a palindrome (4756556574).

The spelling of 2432234232 in words is "two billion, four hundred thirty-two million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 139 152 171 228 278 342 417 456 556 684 834 1112 1251 1368 1668 2502 2641 3336 5004 5282 7923 10008 10564 12791 15846 21128 23769 25582 31692 38373 47538 51164 63384 76746 95076 102328 115119 153492 190152 230238 243029 306984 460476 486058 729087 920952 972116 1458174 1777949 1944232 2187261 2916348 3555898 4374522 5333847 5832696 7111796 8749044 10667694 14223592 16001541 17498088 21335388 32003082 33781031 42670776 64006164 67562062 101343093 128012328 135124124 202686186 270248248 304029279 405372372 608058558 810744744 1216117116 2432234232