Search a number
-
+
1002330032 = 241116334939
BaseRepresentation
bin111011101111100…
…101011110110000
32120212001122022112
4323233211132300
54023044030112
6243243224452
733560443664
oct7357453660
92525048275
101002330032
11474875430
1223b818128
1312c8748c2
14971968a4
155cee1a22
hex3bbe57b0

1002330032 has 40 divisors (see below), whose sum is σ = 2131619520. Its totient is φ = 452796480.

The previous prime is 1002330019. The next prime is 1002330067. The reversal of 1002330032 is 2300332001.

It is a junction number, because it is equal to n+sod(n) for n = 1002329989 and 1002330016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11219 + ... + 46157.

It is an arithmetic number, because the mean of its divisors is an integer number (53290488).

Almost surely, 21002330032 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 1002330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065809760).

1002330032 is an abundant number, since it is smaller than the sum of its proper divisors (1129289488).

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

1002330032 is a wasteful number, since it uses less digits than its factorization.

1002330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35121 (or 35115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1002330032 is about 31659.5962071534. The cubic root of 1002330032 is about 1000.7760748853.

Adding to 1002330032 its reverse (2300332001), we get a palindrome (3302662033).

The spelling of 1002330032 in words is "one billion, two million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 163 176 326 652 1304 1793 2608 3586 7172 14344 28688 34939 69878 139756 279512 384329 559024 768658 1537316 3074632 5695057 6149264 11390114 22780228 45560456 62645627 91120912 125291254 250582508 501165016 1002330032