Search a number
-
+
1032330000 = 24354132647
BaseRepresentation
bin111101100010000…
…001101100010000
32122221111210112110
4331202001230100
54103234030000
6250234225320
734403442312
oct7542015420
92587453473
101032330000
1148a7a5899
12249885240
13135b49870
149b1657b2
156096a850
hex3d881b10

1032330000 has 200 divisors, whose sum is σ = 3590200768. Its totient is φ = 254016000.

The previous prime is 1032329993. The next prime is 1032330001. The reversal of 1032330000 is 332301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1032330001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388677 + ... + 391323.

Almost surely, 21032330000 is an apocalyptic number.

1032330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795100384).

1032330000 is an abundant number, since it is smaller than the sum of its proper divisors (2557870768).

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

1032330000 is a wasteful number, since it uses less digits than its factorization.

1032330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1032330000 is about 32129.8926235367. The cubic root of 1032330000 is about 1010.6625721444.

Adding to 1032330000 its reverse (332301), we get a palindrome (1032662301).

The spelling of 1032330000 in words is "one billion, thirty-two million, three hundred thirty thousand".