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201234432 = 211374679
BaseRepresentation
bin10111111111010…
…01100000000000
3112000122202202010
423333221200000
5403004000212
631545052520
74662315210
oct1377514000
9460582663
10201234432
11a3656453
1257487140
13328ca139
141ca24240
1512a0003c
hexbfe9800

201234432 has 96 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 57483264.

The previous prime is 201234431. The next prime is 201234487. The reversal of 201234432 is 234432102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201234399 and 201234408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201234431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40669 + ... + 45347.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2201234432 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 201234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

201234432 is an abundant number, since it is smaller than the sum of its proper divisors (412032768).

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

201234432 is an equidigital number, since it uses as much as digits as its factorization.

201234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 201234432 is about 14185.7122485972. The cubic root of 201234432 is about 586.0042477376.

Adding to 201234432 its reverse (234432102), we get a palindrome (435666534).

The spelling of 201234432 in words is "two hundred one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4679 5376 6144 7168 9358 10752 14037 14336 18716 21504 28074 32753 37432 43008 56148 65506 74864 98259 112296 131012 149728 196518 224592 262024 299456 393036 449184 524048 598912 786072 898368 1048096 1197824 1572144 1796736 2096192 2395648 3144288 3593472 4192384 4791296 6288576 7186944 8384768 9582592 12577152 14373888 16769536 25154304 28747776 33539072 50308608 67078144 100617216 201234432