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451134032 = 241712011381
BaseRepresentation
bin11010111000111…
…100001001010000
31011102212222112212
4122320330021100
51410442242112
6112433211252
714115401366
oct3270741120
91142788485
10451134032
11211720748
12107100b28
1372605c1b
1443cb5636
1529914522
hex1ae3c250

451134032 has 40 divisors (see below), whose sum is σ = 926929512. Its totient is φ = 211968000.

The previous prime is 451134031. The next prime is 451134037. The reversal of 451134032 is 230431154.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 441672256 = 3076^2 + 21016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 451133989 and 451134007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451134031) 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, 325982 + ... + 327362.

Almost surely, 2451134032 is an apocalyptic number.

It is an amenable number.

451134032 is an abundant number, since it is smaller than the sum of its proper divisors (475795480).

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

451134032 is a wasteful number, since it uses less digits than its factorization.

451134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 451134032 is about 21239.9160073669. The cubic root of 451134032 is about 766.9526104985.

Adding to 451134032 its reverse (230431154), we get a palindrome (681565186).

The spelling of 451134032 in words is "four hundred fifty-one million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 1201 1381 2402 2762 4804 5524 9608 11048 19216 20417 22096 23477 40834 46954 81668 93908 163336 187816 326672 375632 1658581 3317162 6634324 13268648 26537296 28195877 56391754 112783508 225567016 451134032