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434322223434 = 23211101163133241
BaseRepresentation
bin1100101000111111001…
…11110011000101001010
31112112001122212222021100
412110133213303011022
524103442442122214
6531305212322230
743243623662241
oct6243747630512
91475048788240
10434322223434
11158216632910
1270211773376
1331c583040a8
141704267b958
15b46ebe6309
hex651f9f314a

434322223434 has 96 divisors (see below), whose sum is σ = 1043112178368. Its totient is φ = 129509280000.

The previous prime is 434322223421. The next prime is 434322223453.

434322223434 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3193054 + ... + 3326294.

It is an arithmetic number, because the mean of its divisors is an integer number (10865751858).

Almost surely, 2434322223434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434322223434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521556089184).

434322223434 is an abundant number, since it is smaller than the sum of its proper divisors (608789954934).

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

434322223434 is a wasteful number, since it uses less digits than its factorization.

434322223434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133524 (or 133521 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 434322 and 223434, that added together give a palindrome (657756).

The spelling of 434322223434 in words is "four hundred thirty-four billion, three hundred twenty-two million, two hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 163 198 202 303 326 489 606 909 978 1111 1467 1793 1818 2222 2934 3333 3586 5379 6666 9999 10758 16137 16463 19998 32274 32926 49389 98778 133241 148167 181093 266482 296334 362186 399723 543279 799446 1086558 1199169 1465651 1629837 2398338 2931302 3259674 4396953 8793906 13190859 13457341 21718283 26381718 26914682 40372023 43436566 65154849 80744046 121116069 130309698 148030751 195464547 238901113 242232138 296061502 390929094 444092253 477802226 716703339 888184506 1332276759 1433406678 2150110017 2193546583 2664553518 4300220034 4387093166 6580639749 13161279498 19741919247 24129012413 39483838494 48258024826 72387037239 144774074478 217161111717 434322223434