Search a number
-
+
3323164356 = 223243671792
BaseRepresentation
bin1100011000010011…
…0111011011000100
322120121010020111100
43012010313123010
523301212224411
61305430540100
7145231300551
oct30604673304
98517106440
103323164356
111455926626
12788b07630
1340c632b55
142374c9a28
15146b2b456
hexc61376c4

3323164356 has 108 divisors (see below), whose sum is σ = 8772876112. Its totient is φ = 1059857568.

The previous prime is 3323164333. The next prime is 3323164367. The reversal of 3323164356 is 6534613233.

3323164356 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 1 + 643 + 5 + 6 = 666.

It is a super-2 number, since 2×33231643562 = 22086842673977789472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3323164356.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18565075 + ... + 18565253.

Almost surely, 23323164356 is an apocalyptic number.

3323164356 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 3323164356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386438056).

3323164356 is an abundant number, since it is smaller than the sum of its proper divisors (5449711756).

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

3323164356 is a wasteful number, since it uses less digits than its factorization.

3323164356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 294 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 3323164356 is about 57646.8937237732. The cubic root of 3323164356 is about 1492.2809914076.

Adding to 3323164356 its reverse (6534613233), we get a palindrome (9857777589).

The spelling of 3323164356 in words is "three billion, three hundred twenty-three million, one hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 67 86 129 134 172 179 201 258 268 358 387 402 516 537 603 716 774 804 1074 1206 1548 1611 2148 2412 2881 3222 5762 6444 7697 8643 11524 11993 15394 17286 23091 23986 25929 30788 32041 34572 35979 46182 47972 51858 64082 69273 71958 92364 96123 103716 107937 128164 138546 143916 192246 215874 277092 288369 384492 431748 515699 576738 1031398 1153476 1377763 1547097 2062796 2146747 2755526 3094194 4133289 4293494 4641291 5511052 6188388 6440241 8266578 8586988 9282582 12399867 12880482 16533156 18565164 19320723 24799734 25760964 38641446 49599468 77282892 92310121 184620242 276930363 369240484 553860726 830791089 1107721452 1661582178 3323164356