Search a number
-
+
3323010132 = 22321318139229
BaseRepresentation
bin1100011000010001…
…0001110001010100
322120120211101221100
43012010101301110
523301142311012
61305423350100
7145230056121
oct30604216124
98516741840
103323010132
111455830772
12788a52330
1340c5aa8b0
14237489748
15146aea8dc
hexc6111c54

3323010132 has 72 divisors (see below), whose sum is σ = 9096181640. Its totient is φ = 1016789760.

The previous prime is 3323010127. The next prime is 3323010157. The reversal of 3323010132 is 2310103233.

3323010132 is a `hidden beast` number, since 332 + 301 + 0 + 1 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165019716 + 3157990416 = 12846^2 + 56196^2 .

It is a super-2 number, since 2×33230101322 = 22084792674749314848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65094 + ... + 104322.

Almost surely, 23323010132 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 3323010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548090820).

3323010132 is an abundant number, since it is smaller than the sum of its proper divisors (5773171508).

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

3323010132 is a wasteful number, since it uses less digits than its factorization.

3323010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39433 (or 39428 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3323010132 is about 57645.5560472791. The cubic root of 3323010132 is about 1492.2579060709.

Adding to 3323010132 its reverse (2310103233), we get a palindrome (5633113365).

The spelling of 3323010132 in words is "three billion, three hundred twenty-three million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1086 1629 2172 2353 3258 4706 6516 7059 9412 14118 21177 28236 39229 42354 78458 84708 117687 156916 235374 353061 470748 509977 706122 1019954 1412244 1529931 2039908 3059862 4589793 6119724 7100449 9179586 14200898 18359172 21301347 28401796 42602694 63904041 85205388 92305837 127808082 184611674 255616164 276917511 369223348 553835022 830752533 1107670044 1661505066 3323010132