Search a number
-
+
1321301344 = 251119316373
BaseRepresentation
bin100111011000001…
…0111010101100000
310102002021001200211
41032300113111200
510201223120334
6335040023504
744512606336
oct11660272540
93362231624
101321301344
11618927290
1230a601b94
1318098581c
14c76a7b56
157aeeba64
hex4ec17560

1321301344 has 96 divisors (see below), whose sum is σ = 3083996160. Its totient is φ = 550540800.

The previous prime is 1321301341. The next prime is 1321301347. The reversal of 1321301344 is 4431031231.

It is an interprime number because it is at equal distance from previous prime (1321301341) and next prime (1321301347).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321301341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204142 + ... + 210514.

It is an arithmetic number, because the mean of its divisors is an integer number (32124960).

Almost surely, 21321301344 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 1321301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541998080).

1321301344 is an abundant number, since it is smaller than the sum of its proper divisors (1762694816).

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

1321301344 is a wasteful number, since it uses less digits than its factorization.

1321301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1321301344 is about 36349.7089947086. The cubic root of 1321301344 is about 1097.3216779512.

Adding to 1321301344 its reverse (4431031231), we get a palindrome (5752332575).

The spelling of 1321301344 in words is "one billion, three hundred twenty-one million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 76 88 124 152 176 209 248 304 341 352 418 496 589 608 682 836 992 1178 1364 1672 2356 2728 3344 4712 5456 6373 6479 6688 9424 10912 12746 12958 18848 25492 25916 50984 51832 70103 101968 103664 121087 140206 197563 203936 207328 242174 280412 395126 484348 560824 790252 968696 1121648 1331957 1580504 1937392 2173193 2243296 2663914 3161008 3753697 3874784 4346386 5327828 6322016 7507394 8692772 10655656 15014788 17385544 21311312 30029576 34771088 41290667 42622624 60059152 69542176 82581334 120118304 165162668 330325336 660650672 1321301344