Search a number
-
+
1329313232 = 2413173167181
BaseRepresentation
bin100111100111011…
…1011010111010000
310102122100002221102
41033032323113100
510210301010412
6335523443532
744640655532
oct11716732720
93378302842
101329313232
116223a9785
123112265a8
1318252c4a0
14c8791852
157ba808c2
hex4f3bb5d0

1329313232 has 160 divisors (see below), whose sum is σ = 3093801984. Its totient is φ = 547430400.

The previous prime is 1329313229. The next prime is 1329313241. The reversal of 1329313232 is 2323139231.

It is a junction number, because it is equal to n+sod(n) for n = 1329313195 and 1329313204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7344182 + ... + 7344362.

Almost surely, 21329313232 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 1329313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546900992).

1329313232 is an abundant number, since it is smaller than the sum of its proper divisors (1764488752).

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

1329313232 is a wasteful number, since it uses less digits than its factorization.

1329313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 1329313232 is about 36459.7481066449. The cubic root of 1329313232 is about 1099.5351291885.

The spelling of 1329313232 in words is "one billion, three hundred twenty-nine million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 67 68 104 124 134 136 181 208 221 248 268 272 362 403 442 496 527 536 724 806 871 884 1054 1072 1139 1448 1612 1742 1768 2077 2108 2278 2353 2896 3077 3224 3484 3536 4154 4216 4556 4706 5611 6154 6448 6851 6968 8308 8432 9112 9412 11222 12127 12308 13702 13936 14807 16616 18224 18824 22444 24254 24616 27001 27404 29614 33232 35309 37648 40001 44888 48508 49232 54002 54808 59228 70618 72943 80002 89776 95387 97016 108004 109616 118456 141236 145886 157651 160004 190774 194032 206159 216008 236912 282472 291772 315302 320008 375937 381548 412318 432016 459017 564944 583544 630604 640016 751874 763096 824636 918034 1167088 1240031 1261208 1503748 1526192 1649272 1836068 2480062 2522416 2680067 3007496 3298544 3672136 4887181 4960124 5360134 6014992 6390929 7344272 9774362 9920248 10720268 12781858 19548724 19840496 21440536 25563716 39097448 42881072 51127432 78194896 83082077 102254864 166164154 332328308 664656616 1329313232