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23742032 = 2431151317
BaseRepresentation
bin101101010010…
…0011001010000
31122200012221112
41122210121100
522034221112
62204512452
7405542516
oct132443120
948605845
1023742032
1112446816
127b4b728
134bc3752
1432204b6
15213ea22
hex16a4650

23742032 has 40 divisors (see below), whose sum is σ = 47949312. Its totient is φ = 11376000.

The previous prime is 23742031. The next prime is 23742071. The reversal of 23742032 is 23024732.

It is a junction number, because it is equal to n+sod(n) for n = 23741989 and 23742007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23742031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74738 + ... + 75054.

Almost surely, 223742032 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 23742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974656).

23742032 is an abundant number, since it is smaller than the sum of its proper divisors (24207280).

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

23742032 is a wasteful number, since it uses less digits than its factorization.

23742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 23742032 is about 4872.5796042753. The cubic root of 23742032 is about 287.4127049398.

Adding to 23742032 its reverse (23024732), we get a palindrome (46766764).

The spelling of 23742032 in words is "twenty-three million, seven hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 124 151 248 302 317 496 604 634 1208 1268 2416 2536 4681 5072 9362 9827 18724 19654 37448 39308 47867 74896 78616 95734 157232 191468 382936 765872 1483877 2967754 5935508 11871016 23742032