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3234114432 = 27333130187
BaseRepresentation
bin1100000011000100…
…1010101110000000
322100101120000222000
43000301022232000
523110413130212
61252530144000
7143100343023
oct30061125600
98311500860
103234114432
11140a63404a
12763122000
133c70544a3
142297491ba
1513dddb1dc
hexc0c4ab80

3234114432 has 128 divisors (see below), whose sum is σ = 9853363200. Its totient is φ = 1043228160.

The previous prime is 3234114421. The next prime is 3234114451. The reversal of 3234114432 is 2344114323.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 = 3234114396 and 3234114405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92043 + ... + 122229.

It is an arithmetic number, because the mean of its divisors is an integer number (76979400).

Almost surely, 23234114432 is an apocalyptic number.

3234114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926681600).

3234114432 is an abundant number, since it is smaller than the sum of its proper divisors (6619248768).

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

3234114432 is a wasteful number, since it uses less digits than its factorization.

3234114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30241 (or 30223 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3234114432 is about 56869.2749382300. The cubic root of 3234114432 is about 1478.8307102294.

Adding to 3234114432 its reverse (2344114323), we get a palindrome (5578228755).

The spelling of 3234114432 in words is "three billion, two hundred thirty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 30187 35712 53568 60374 90561 107136 120748 181122 241496 271683 362244 482992 543366 724488 815049 935797 965984 1086732 1448976 1630098 1871594 1931968 2173464 2807391 2897952 3260196 3743188 3863936 4346928 5614782 5795904 6520392 7486376 8422173 8693856 11229564 11591808 13040784 14972752 16844346 17387712 22459128 25266519 26081568 29945504 33688692 34775424 44918256 50533038 52163136 59891008 67377384 89836512 101066076 104326272 119782016 134754768 179673024 202132152 269509536 359346048 404264304 539019072 808528608 1078038144 1617057216 3234114432