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3442441032 = 233515711279
BaseRepresentation
bin1100110100101111…
…0111101101001000
322212220120010100000
43031023313231020
524022231103112
61325331243000
7151210160142
oct31513675510
98786503300
103442441032
111507193998
12800a49460
1342b265774
14249297c92
1515233c7dc
hexcd2f7b48

3442441032 has 96 divisors (see below), whose sum is σ = 9731030400. Its totient is φ = 1140070464.

The previous prime is 3442441003. The next prime is 3442441049. The reversal of 3442441032 is 2301442443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3442440987 and 3442441005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299569 + ... + 310847.

It is an arithmetic number, because the mean of its divisors is an integer number (101364900).

Almost surely, 23442441032 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 3442441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865515200).

3442441032 is an abundant number, since it is smaller than the sum of its proper divisors (6288589368).

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

3442441032 is a wasteful number, since it uses less digits than its factorization.

3442441032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3442441032 is about 58672.3191292112. The cubic root of 3442441032 is about 1509.9254428635.

Adding to 3442441032 its reverse (2301442443), we get a palindrome (5743883475).

The spelling of 3442441032 in words is "three billion, four hundred forty-two million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 243 314 324 471 486 628 648 942 972 1256 1413 1884 1944 2826 3768 4239 5652 8478 11279 11304 12717 16956 22558 25434 33837 33912 38151 45116 50868 67674 76302 90232 101511 101736 135348 152604 203022 270696 304533 305208 406044 609066 812088 913599 1218132 1770803 1827198 2436264 2740797 3541606 3654396 5312409 5481594 7083212 7308792 10624818 10963188 14166424 15937227 21249636 21926376 31874454 42499272 47811681 63748908 95623362 127497816 143435043 191246724 286870086 382493448 430305129 573740172 860610258 1147480344 1721220516 3442441032