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431345226 = 231347971213
BaseRepresentation
bin11001101101011…
…100111001001010
31010001122121102010
4121231130321022
51340411021401
6110445120350
713455242154
oct3155347112
91101577363
10431345226
11201535064
121005590b6
136b497980
1441403ad4
1527d05ed6
hex19b5ce4a

431345226 has 64 divisors (see below), whose sum is σ = 959390208. Its totient is φ = 128452608.

The previous prime is 431345221. The next prime is 431345237. The reversal of 431345226 is 622543134.

It is a junction number, because it is equal to n+sod(n) for n = 431345193 and 431345202.

It is not an unprimeable number, because it can be changed into a prime (431345221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354996 + ... + 356208.

It is an arithmetic number, because the mean of its divisors is an integer number (14990472).

Almost surely, 2431345226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431345226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479695104).

431345226 is an abundant number, since it is smaller than the sum of its proper divisors (528044982).

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

431345226 is a wasteful number, since it uses less digits than its factorization.

431345226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375.

The product of its digits is 17280, while the sum is 30.

The square root of 431345226 is about 20768.8523033893. The cubic root of 431345226 is about 755.5705092468.

The spelling of 431345226 in words is "four hundred thirty-one million, three hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 47 78 94 97 141 194 282 291 582 611 1213 1222 1261 1833 2426 2522 3639 3666 3783 4559 7278 7566 9118 13677 15769 27354 31538 47307 57011 59267 94614 114022 117661 118534 171033 177801 235322 342066 352983 355602 705966 741143 1482286 1529593 2223429 3059186 4446858 4588779 5530067 9177558 11060134 16590201 33180402 71890871 143781742 215672613 431345226