Search a number
-
+
3039663636 = 2232438922063
BaseRepresentation
bin1011010100101101…
…1001011000010100
321211211122220121200
42311023121120110
522211123214021
61221342312500
7135216500052
oct26513313024
97754586550
103039663636
11131a8a1309
12709b88730
13395990c49
1420b9ad1d2
1512bccb126
hexb52d9614

3039663636 has 72 divisors (see below), whose sum is σ = 7950983040. Its totient is φ = 978493824.

The previous prime is 3039663629. The next prime is 3039663637. The reversal of 3039663636 is 6363669303.

3039663636 is a `hidden beast` number, since 3 + 0 + 3 + 9 + 6 + 6 + 3 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3039663591 and 3039663600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3039663637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126741 + ... + 148803.

It is an arithmetic number, because the mean of its divisors is an integer number (110430320).

Almost surely, 23039663636 is an apocalyptic number.

3039663636 is a gapful number since it is divisible by the number (36) 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 3039663636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975491520).

3039663636 is an abundant number, since it is smaller than the sum of its proper divisors (4911319404).

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

3039663636 is a wasteful number, since it uses less digits than its factorization.

3039663636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 45.

The square root of 3039663636 is about 55133.1446228129. The cubic root of 3039663636 is about 1448.5778582731.

The spelling of 3039663636 in words is "three billion, thirty-nine million, six hundred sixty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 89 129 172 178 258 267 356 387 516 534 774 801 1068 1548 1602 3204 3827 7654 11481 15308 22063 22962 34443 44126 45924 66189 68886 88252 132378 137772 198567 264756 397134 794268 948709 1897418 1963607 2846127 3794836 3927214 5692254 5890821 7854428 8538381 11384508 11781642 17076762 17672463 23563284 34153524 35344926 70689852 84435101 168870202 253305303 337740404 506610606 759915909 1013221212 1519831818 3039663636