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3442750128 = 24359412
BaseRepresentation
bin1100110100110100…
…0011001010110000
322212221010211100000
43031031003022300
524022321001003
61325342030000
7151212615246
oct31515031260
98787124300
103442750128
111507385144
12800b78300
1342b34336c
14249338796
1515239e1a3
hexcd3432b0

3442750128 has 90 divisors (see below), whose sum is σ = 10002397132. Its totient is φ = 1146363840.

The previous prime is 3442750081. The next prime is 3442750159. The reversal of 3442750128 is 8210572443.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3442750092 and 3442750101.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3658138 + ... + 3659078.

Almost surely, 23442750128 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 3442750128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001198566).

3442750128 is an abundant number, since it is smaller than the sum of its proper divisors (6559647004).

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

3442750128 is an frugal number, since it uses more digits than its factorization.

3442750128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3442750128 is about 58674.9531572033. The cubic root of 3442750128 is about 1509.9706334654.

The spelling of 3442750128 in words is "three billion, four hundred forty-two million, seven hundred fifty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 941 972 1296 1882 1944 2823 3764 3888 5646 7528 8469 11292 15056 16938 22584 25407 33876 45168 50814 67752 76221 101628 135504 152442 203256 228663 304884 406512 457326 609768 885481 914652 1219536 1770962 1829304 2656443 3541924 3658608 5312886 7083848 7969329 10625772 14167696 15938658 21251544 23907987 31877316 42503088 47815974 63754632 71723961 95631948 127509264 143447922 191263896 215171883 286895844 382527792 430343766 573791688 860687532 1147583376 1721375064 3442750128