Search a number
-
+
3453221440 = 265311272741
BaseRepresentation
bin1100110111010011…
…1111101001000000
322220122211211021101
43031310333221000
524033011041230
61330354304144
7151400616664
oct31564775100
98818754241
103453221440
111512287419
12804588054
1343056b5c6
1424a8a28a4
1515326baca
hexcdd3fa40

3453221440 has 112 divisors (see below), whose sum is σ = 8558198784. Its totient is φ = 1325721600.

The previous prime is 3453221267. The next prime is 3453221477. The reversal of 3453221440 is 441223543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3453221399 and 3453221408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258470 + ... + 1261210.

Almost surely, 23453221440 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 3453221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279099392).

3453221440 is an abundant number, since it is smaller than the sum of its proper divisors (5104977344).

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

3453221440 is a wasteful number, since it uses less digits than its factorization.

3453221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3453221440 is about 58764.1169422293. The cubic root of 3453221440 is about 1511.4999699623.

Adding to 3453221440 its reverse (441223543), we get a palindrome (3894444983).

The spelling of 3453221440 in words is "three billion, four hundred fifty-three million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 127 155 160 248 254 310 320 496 508 620 635 992 1016 1240 1270 1984 2032 2480 2540 2741 3937 4064 4960 5080 5482 7874 8128 9920 10160 10964 13705 15748 19685 20320 21928 27410 31496 39370 40640 43856 54820 62992 78740 84971 87712 109640 125984 157480 169942 175424 219280 251968 314960 339884 348107 424855 438560 629920 679768 696214 849710 877120 1259840 1359536 1392428 1699420 1740535 2719072 2784856 3398840 3481070 5438144 5569712 6797680 6962140 10791317 11139424 13595360 13924280 21582634 22278848 27190720 27848560 43165268 53956585 55697120 86330536 107913170 111394240 172661072 215826340 345322144 431652680 690644288 863305360 1726610720 3453221440