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431450442 = 23319795323
BaseRepresentation
bin11001101101110…
…110100101001010
31010001211221202000
4121231312211022
51340422403232
6110451251430
713456161003
oct3155664512
91101757660
10431450442
112015a7115
121005a9b76
136b503827
14414301aa
1527d2727c
hex19b7694a

431450442 has 64 divisors (see below), whose sum is σ = 1022208000. Its totient is φ = 134497584.

The previous prime is 431450413. The next prime is 431450443. The reversal of 431450442 is 244054134.

It is a happy number.

It is a super-2 number, since 2×4314504422 = 372298967803990728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (431450443) 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, 78393 + ... + 83715.

It is an arithmetic number, because the mean of its divisors is an integer number (15972000).

Almost surely, 2431450442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431450442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511104000).

431450442 is an abundant number, since it is smaller than the sum of its proper divisors (590757558).

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

431450442 is a wasteful number, since it uses less digits than its factorization.

431450442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 431450442 is about 20771.3851728767. The cubic root of 431450442 is about 755.6319384988.

It can be divided in two parts, 4314 and 50442, that added together give a square (54756 = 2342).

The spelling of 431450442 in words is "four hundred thirty-one million, four hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 711 1026 1422 1501 2133 3002 4266 4503 5323 9006 10646 13509 15969 27018 31938 40527 47907 81054 95814 101137 143721 202274 287442 303411 420517 606822 841034 910233 1261551 1820466 2523102 2730699 3784653 5461398 7569306 7989823 11353959 15979646 22707918 23969469 47938938 71908407 143816814 215725221 431450442