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2034453132 = 2233231276449
BaseRepresentation
bin111100101000011…
…0100101010001100
312020210011221001000
41321100310222030
513131310000012
6533513220300
7101262365145
oct17120645214
95223157030
102034453132
11954439828
12489401690
1326564b22a
141542a6acc
15bd91addc
hex79434a8c

2034453132 has 96 divisors (see below), whose sum is σ = 5548032000. Its totient is φ = 643458816.

The previous prime is 2034453119. The next prime is 2034453143. The reversal of 2034453132 is 2313544302.

2034453132 is a `hidden beast` number, since 2 + 0 + 344 + 5 + 313 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2034453096 and 2034453105.

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, 312244 + ... + 318692.

It is an arithmetic number, because the mean of its divisors is an integer number (57792000).

Almost surely, 22034453132 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 2034453132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774016000).

2034453132 is an abundant number, since it is smaller than the sum of its proper divisors (3513578868).

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

2034453132 is a wasteful number, since it uses less digits than its factorization.

2034453132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2034453132 is about 45104.9125040721. The cubic root of 2034453132 is about 1267.1146043019.

Adding to 2034453132 its reverse (2313544302), we get a palindrome (4347997434).

The spelling of 2034453132 in words is "two billion, thirty-four million, four hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 127 138 207 254 276 381 414 508 621 762 828 1143 1242 1524 2286 2484 2921 3429 4572 5842 6449 6858 8763 11684 12898 13716 17526 19347 25796 26289 35052 38694 52578 58041 77388 78867 105156 116082 148327 157734 174123 232164 296654 315468 348246 444981 593308 696492 819023 889962 1334943 1638046 1779924 2457069 2669886 3276092 4004829 4914138 5339772 7371207 8009658 9828276 14742414 16019316 18837529 22113621 29484828 37675058 44227242 56512587 75350116 88454484 113025174 169537761 226050348 339075522 508613283 678151044 1017226566 2034453132