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431454342 = 231131613457
BaseRepresentation
bin11001101101110…
…111100010000110
31010001212011002110
4121231313202012
51340423014332
6110451321450
713456205244
oct3155674206
91101764073
10431454342
112015aa040
121005b0286
136b505537
1441431794
1527d284cc
hex19b77886

431454342 has 64 divisors (see below), whose sum is σ = 987936768. Its totient is φ = 124416000.

The previous prime is 431454341. The next prime is 431454349. The reversal of 431454342 is 243454134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431454341) 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, 123078 + ... + 126534.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2431454342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431454342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

431454342 is an abundant number, since it is smaller than the sum of its proper divisors (556482426).

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

431454342 is a wasteful number, since it uses less digits than its factorization.

431454342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565.

The product of its digits is 23040, while the sum is 30.

The square root of 431454342 is about 20771.4790518153. The cubic root of 431454342 is about 755.6342152807.

It can be divided in two parts, 4 and 31454342, that added together give a triangular number (31454346 = T7931).

The spelling of 431454342 in words is "four hundred thirty-one million, four hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 93 122 183 186 341 366 671 682 1023 1342 1891 2013 2046 3457 3782 4026 5673 6914 10371 11346 20742 20801 38027 41602 62403 76054 107167 114081 124806 210877 214334 228162 321501 421754 632631 643002 1178837 1265262 2319647 2357674 3536511 4639294 6537187 6958941 7073022 13074374 13917882 19611561 39223122 71909057 143818114 215727171 431454342