Search a number
-
+
3305130332 = 2271910360317
BaseRepresentation
bin1100010100000000…
…0100100101011100
322112100012000110112
43011000010211130
523232103132312
61303544225152
7144622100330
oct30500044534
98470160415
103305130332
111446729379
12782a6b1b8
1340898a52a
14234d537c0
15145267d22
hexc500495c

3305130332 has 48 divisors (see below), whose sum is σ = 7025840640. Its totient is φ = 1328882112.

The previous prime is 3305130329. The next prime is 3305130341. The reversal of 3305130332 is 2330315033.

It is a junction number, because it is equal to n+sod(n) for n = 3305130298 and 3305130307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24638 + ... + 84954.

It is an arithmetic number, because the mean of its divisors is an integer number (146371680).

Almost surely, 23305130332 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 3305130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512920320).

3305130332 is an abundant number, since it is smaller than the sum of its proper divisors (3720710308).

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

3305130332 is a wasteful number, since it uses less digits than its factorization.

3305130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60450 (or 60448 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 3305130332 is about 57490.2629320827. The cubic root of 3305130332 is about 1489.5766753803.

Adding to 3305130332 its reverse (2330315033), we get a palindrome (5635445365).

The spelling of 3305130332 in words is "three billion, three hundred five million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 103 133 206 266 412 532 721 1442 1957 2884 3914 7828 13699 27398 54796 60317 120634 241268 422219 844438 1146023 1688876 2292046 4584092 6212651 8022161 12425302 16044322 24850604 32088644 43488557 86977114 118040369 173954228 236080738 472161476 826282583 1652565166 3305130332