Search a number
-
+
449714328 = 233717532971
BaseRepresentation
bin11010110011100…
…001100010011000
31011100012212002020
4122303201202120
51410111324303
6112342534440
714100336330
oct3263414230
91140185066
10449714328
11210941038
12106737420
137222996b
1443a260c0
1529733a53
hex1ace1898

449714328 has 128 divisors (see below), whose sum is σ = 1386616320. Its totient is φ = 118609920.

The previous prime is 449714323. The next prime is 449714341. The reversal of 449714328 is 823417944.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 449714328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449714323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149883 + ... + 152853.

It is an arithmetic number, because the mean of its divisors is an integer number (10832940).

Almost surely, 2449714328 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 449714328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693308160).

449714328 is an abundant number, since it is smaller than the sum of its proper divisors (936901992).

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

449714328 is a wasteful number, since it uses less digits than its factorization.

449714328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3053 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 449714328 is about 21206.4690130158. The cubic root of 449714328 is about 766.1472401799.

The spelling of 449714328 in words is "four hundred forty-nine million, seven hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 53 56 68 84 102 106 119 136 159 168 204 212 238 318 357 371 408 424 476 636 714 742 901 952 1113 1272 1428 1484 1802 2226 2703 2856 2968 2971 3604 4452 5406 5942 6307 7208 8904 8913 10812 11884 12614 17826 18921 20797 21624 23768 25228 35652 37842 41594 50456 50507 62391 71304 75684 83188 101014 124782 151368 151521 157463 166376 202028 249564 303042 314926 353549 404056 472389 499128 606084 629852 707098 944778 1060647 1102241 1212168 1259704 1414196 1889556 2121294 2204482 2676871 2828392 3306723 3779112 4242588 4408964 5353742 6613446 8030613 8485176 8817928 10707484 13226892 16061226 18738097 21414968 26453784 32122452 37476194 56214291 64244904 74952388 112428582 149904776 224857164 449714328