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3432114432 = 28321489633
BaseRepresentation
bin1100110010010001…
…1110100100000000
322212012010110220100
43030210132210000
524012110130212
61324322042400
7151023330345
oct31444364400
98765113810
103432114432
11150138040a
127b94a9400
1342908b356
14247b6a7cc
1515149cbdc
hexcc91e900

3432114432 has 54 divisors (see below), whose sum is σ = 9895638662. Its totient is φ = 1144037376.

The previous prime is 3432114409. The next prime is 3432114437. The reversal of 3432114432 is 2344112343.

3432114432 is a `hidden beast` number, since 3 + 4 + 3 + 211 + 443 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3010058496 + 422055936 = 54864^2 + 20544^2 .

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 = 3432114396 and 3432114405.

It is not an unprimeable number, because it can be changed into a prime (3432114437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 742513 + ... + 747120.

Almost surely, 23432114432 is an apocalyptic number.

3432114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3432114432 is an abundant number, since it is smaller than the sum of its proper divisors (6463524230).

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

3432114432 is a wasteful number, since it uses less digits than its factorization.

3432114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489655 (or 1489638 counting only the distinct ones).

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

The square root of 3432114432 is about 58584.2507163828. The cubic root of 3432114432 is about 1508.4141109072.

Adding to 3432114432 its reverse (2344112343), we get a palindrome (5776226775).

The spelling of 3432114432 in words is "three billion, four hundred thirty-two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1489633 2979266 4468899 5958532 8937798 11917064 13406697 17875596 23834128 26813394 35751192 47668256 53626788 71502384 95336512 107253576 143004768 190673024 214507152 286009536 381346048 429014304 572019072 858028608 1144038144 1716057216 3432114432