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3432243012 = 223111091491601
BaseRepresentation
bin1100110010010011…
…1101111101000100
322212012101000021120
43030210331331010
524012123234022
61324324513540
7151024404252
oct31444757504
98765330246
103432243012
111501458a80
127b954b8b0
13429104a33
14247ba15d2
151514c5d5c
hexcc93df44

3432243012 has 96 divisors (see below), whose sum is σ = 8881488000. Its totient is φ = 1022976000.

The previous prime is 3432242993. The next prime is 3432243029. The reversal of 3432243012 is 2103422343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143012 + ... + 2144612.

It is an arithmetic number, because the mean of its divisors is an integer number (92515500).

Almost surely, 23432243012 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 3432243012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440744000).

3432243012 is an abundant number, since it is smaller than the sum of its proper divisors (5449244988).

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

3432243012 is a wasteful number, since it uses less digits than its factorization.

3432243012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3432243012 is about 58585.3481000156. The cubic root of 3432243012 is about 1508.4329476397.

Adding to 3432243012 its reverse (2103422343), we get a palindrome (5535665355).

The spelling of 3432243012 in words is "three billion, four hundred thirty-two million, two hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 149 218 298 327 436 447 596 654 894 1199 1308 1601 1639 1788 2398 3202 3278 3597 4796 4803 4917 6404 6556 7194 9606 9834 14388 16241 17611 19212 19668 32482 35222 48723 52833 64964 70444 97446 105666 174509 178651 194892 211332 238549 349018 357302 477098 523527 535953 698036 714604 715647 954196 1047054 1071906 1431294 1919599 2094108 2143812 2624039 2862588 3839198 5248078 5758797 7678396 7872117 10496156 11517594 15744234 23035188 26001841 31488468 52003682 78005523 104007364 156011046 286020251 312022092 572040502 858060753 1144081004 1716121506 3432243012