Search a number
-
+
3444134232 = 23371111316493
BaseRepresentation
bin1100110101001001…
…0101000101011000
322220000202010222010
43031102111011120
524023144243412
61325431425520
7151230441450
oct31522250530
98800663863
103444134232
111508140030
128015252a0
1342b709366
142495b8d60
1515257433c
hexcd495158

3444134232 has 128 divisors (see below), whose sum is σ = 10830620160. Its totient is φ = 886609920.

The previous prime is 3444134203. The next prime is 3444134251. The reversal of 3444134232 is 2324314443.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3444134232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200578 + ... + 217070.

It is an arithmetic number, because the mean of its divisors is an integer number (84614220).

Almost surely, 23444134232 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 3444134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415310080).

3444134232 is an abundant number, since it is smaller than the sum of its proper divisors (7386485928).

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

3444134232 is a wasteful number, since it uses less digits than its factorization.

3444134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16633 (or 16629 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3444134232 is about 58686.7466469219. The cubic root of 3444134232 is about 1510.1729597356.

Adding to 3444134232 its reverse (2324314443), we get a palindrome (5768448675).

The spelling of 3444134232 in words is "three billion, four hundred forty-four million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 113 132 154 168 226 231 264 308 339 452 462 616 678 791 904 924 1243 1356 1582 1848 2373 2486 2712 3164 3729 4746 4972 6328 7458 8701 9492 9944 14916 16493 17402 18984 26103 29832 32986 34804 49479 52206 65972 69608 98958 104412 115451 131944 181423 197916 208824 230902 346353 362846 395832 461804 544269 692706 725692 923608 1088538 1269961 1385412 1451384 1863709 2177076 2539922 2770824 3727418 3809883 4354152 5079844 5591127 7454836 7619766 10159688 11182254 13045963 14909672 15239532 20500799 22364508 26091926 30479064 39137889 41001598 44729016 52183852 61502397 78275778 82003196 104367704 123004794 143505593 156551556 164006392 246009588 287011186 313103112 430516779 492019176 574022372 861033558 1148044744 1722067116 3444134232