Search a number
-
+
1032342528 = 2103761787
BaseRepresentation
bin111101100010000…
…100110000000000
32122221112102201110
4331202010300000
54103234430103
6250234403320
734403523660
oct7542046000
92587472643
101032342528
1148a804248
12249890540
13135b52489
149b16a1a0
156096e403
hex3d884c00

1032342528 has 176 divisors, whose sum is σ = 3200263424. Its totient is φ = 289751040.

The previous prime is 1032342491. The next prime is 1032342559. The reversal of 1032342528 is 8252432301.

It is a junction number, because it is equal to n+sod(n) for n = 1032342495 and 1032342504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311351 + ... + 1312137.

Almost surely, 21032342528 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 1032342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600131712).

1032342528 is an abundant number, since it is smaller than the sum of its proper divisors (2167920896).

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

1032342528 is an equidigital number, since it uses as much as digits as its factorization.

1032342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1032342528 is about 32130.0875815800. The cubic root of 1032342528 is about 1010.6666604784. Note that the first 5 decimals are identical.

Adding to 1032342528 its reverse (8252432301), we get a palindrome (9284774829).

The spelling of 1032342528 in words is "one billion, thirty-two million, three hundred forty-two thousand, five hundred twenty-eight".