Search a number
-
+
431442342 = 23328128433
BaseRepresentation
bin11001101101110…
…100100110100110
31010001211112122000
4121231310212212
51340422123332
6110451150130
713456125252
oct3155644646
91101745560
10431442342
112015a1021
121005a5346
136b4ccc36
144142b262
1527d24b7c
hex19b749a6

431442342 has 32 divisors (see below), whose sum is σ = 962206560. Its totient is φ = 143297280.

The previous prime is 431442331. The next prime is 431442359. The reversal of 431442342 is 243244134.

It is a happy number.

431442342 is a `hidden beast` number, since 4 + 314 + 4 + 2 + 342 = 666.

It is a super-2 number, since 2×4314423422 = 372284988940889928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958 + ... + 29390.

It is an arithmetic number, because the mean of its divisors is an integer number (30068955).

Almost surely, 2431442342 is an apocalyptic number.

431442342 is an abundant number, since it is smaller than the sum of its proper divisors (530764218).

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

431442342 is a wasteful number, since it uses less digits than its factorization.

431442342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28719 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 431442342 is about 20771.1901921869. The cubic root of 431442342 is about 755.6272097541.

Adding to 431442342 its reverse (243244134), we get a palindrome (674686476).

It can be divided in two parts, 4314 and 42342, that added together give a 6-th power (46656 = 66).

The spelling of 431442342 in words is "four hundred thirty-one million, four hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 281 562 843 1686 2529 5058 7587 15174 28433 56866 85299 170598 255897 511794 767691 1535382 7989673 15979346 23969019 47938038 71907057 143814114 215721171 431442342