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3430133322 = 2371131376473
BaseRepresentation
bin1100110001110011…
…1010111001001010
322212001101211022220
43030130322321022
524011103231242
61324211354510
7151000436460
oct31434727112
98761354286
103430133322
111500247a30
127b88b2a36
134288466b5
142477b2830
1515120abec
hexcc73ae4a

3430133322 has 128 divisors (see below), whose sum is σ = 9068986368. Its totient is φ = 838771200.

The previous prime is 3430133297. The next prime is 3430133323. The reversal of 3430133322 is 2233310343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3430133292 and 3430133301.

It is not an unprimeable number, because it can be changed into a prime (3430133323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 526678 + ... + 533150.

It is an arithmetic number, because the mean of its divisors is an integer number (70851456).

Almost surely, 23430133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534493184).

3430133322 is an abundant number, since it is smaller than the sum of its proper divisors (5638853046).

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

3430133322 is a wasteful number, since it uses less digits than its factorization.

3430133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3430133322 is about 58567.3400625297. The cubic root of 3430133322 is about 1508.1238224659.

Adding to 3430133322 its reverse (2233310343), we get a palindrome (5663443665).

The spelling of 3430133322 in words is "three billion, four hundred thirty million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 37 42 62 66 74 77 93 111 154 186 217 222 231 259 341 407 434 462 518 651 682 777 814 1023 1147 1221 1302 1554 2046 2294 2387 2442 2849 3441 4774 5698 6473 6882 7161 8029 8547 12617 12946 14322 16058 17094 19419 24087 25234 37851 38838 45311 48174 71203 75702 88319 90622 135933 142406 176638 200663 213609 239501 264957 271866 401326 427218 479002 498421 529914 601989 718503 996842 1203978 1404641 1437006 1495263 1676507 2207293 2634511 2809282 2990526 3353014 4213923 4414586 5029521 5269022 6621879 7424531 7903533 8427846 10059042 13243758 14849062 15451051 15807066 18441577 22273593 30902102 36883154 44547186 46353153 51971717 55324731 81669841 92706306 103943434 110649462 155915151 163339682 245009523 311830302 490019046 571688887 1143377774 1715066661 3430133322