Search a number
-
+
331811046 = 23372891409
BaseRepresentation
bin10011110001110…
…000100011100110
3212010100202012000
4103301300203212
51134420423141
652531510130
711136230100
oct2361604346
9763322160
10331811046
11160331606
1293158346
13539881c8
14320d4570
151e1e45b6
hex13c708e6

331811046 has 96 divisors (see below), whose sum is σ = 867996000. Its totient is φ = 93671424.

The previous prime is 331811033. The next prime is 331811063. The reversal of 331811046 is 640118133.

It is a super-2 number, since 2×3318110462 = 220197140495228232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234790 + ... + 236198.

It is an arithmetic number, because the mean of its divisors is an integer number (9041625).

Almost surely, 2331811046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331811046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433998000).

331811046 is an abundant number, since it is smaller than the sum of its proper divisors (536184954).

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

331811046 is a wasteful number, since it uses less digits than its factorization.

331811046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 331811046 is about 18215.6813213231. The cubic root of 331811046 is about 692.3041684094.

Adding to 331811046 its reverse (640118133), we get a palindrome (971929179).

The spelling of 331811046 in words is "three hundred thirty-one million, eight hundred eleven thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 89 98 126 147 178 189 267 294 378 441 534 623 801 882 1246 1323 1409 1602 1869 2403 2646 2818 3738 4227 4361 4806 5607 8454 8722 9863 11214 12681 13083 16821 19726 25362 26166 29589 33642 38043 39249 59178 69041 76086 78498 88767 117747 125401 138082 177534 207123 235494 250802 266301 376203 414246 532602 621369 752406 877807 1128609 1242738 1755614 1864107 2257218 2633421 3385827 3728214 5266842 6144649 6771654 7900263 12289298 15800526 18433947 23700789 36867894 47401578 55301841 110603682 165905523 331811046