Search a number
-
+
1321340412 = 223779832399
BaseRepresentation
bin100111011000010…
…0000110111111100
310102002100001021210
41032300200313330
510201230343122
6335040524420
744513131260
oct11660406774
93362301253
101321340412
11618953677
1230a620710
1318099a542
14c76b80a0
157b00840c
hex4ec20dfc

1321340412 has 96 divisors (see below), whose sum is σ = 3612672000. Its totient is φ = 368102592.

The previous prime is 1321340407. The next prime is 1321340467. The reversal of 1321340412 is 2140431231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 549589 + ... + 551987.

It is an arithmetic number, because the mean of its divisors is an integer number (37632000).

Almost surely, 21321340412 is an apocalyptic number.

1321340412 is a gapful number since it is divisible by the number (12) 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 1321340412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806336000).

1321340412 is an abundant number, since it is smaller than the sum of its proper divisors (2291331588).

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

1321340412 is a wasteful number, since it uses less digits than its factorization.

1321340412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1321340412 is about 36350.2463815584. The cubic root of 1321340412 is about 1097.3324929812.

Adding to 1321340412 its reverse (2140431231), we get a palindrome (3461771643).

The spelling of 1321340412 in words is "one billion, three hundred twenty-one million, three hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 83 84 158 166 237 249 316 332 474 498 553 581 948 996 1106 1162 1659 1743 2212 2324 2399 3318 3486 4798 6557 6636 6972 7197 9596 13114 14394 16793 19671 26228 28788 33586 39342 45899 50379 67172 78684 91798 100758 137697 183596 189521 199117 201516 275394 379042 398234 550788 568563 597351 758084 796468 1137126 1194702 1326647 1393819 2274252 2389404 2653294 2787638 3979941 4181457 5306588 5575276 7959882 8362914 15730243 15919764 16725828 31460486 47190729 62920972 94381458 110111701 188762916 220223402 330335103 440446804 660670206 1321340412