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432340342344 = 23332001575659
BaseRepresentation
bin1100100101010010111…
…11100001011001001000
31112022221112121222112000
412102221133201121020
524040413111423334
6530340413551000
743143540163251
oct6225137413110
91468845558460
10432340342344
11157399941259
126b959aa5460
1331a00831ba1
1416cd537bb28
15b3a5c12299
hex64a97e1648

432340342344 has 32 divisors (see below), whose sum is σ = 1200945396000. Its totient is φ = 144113447376.

The previous prime is 432340342327. The next prime is 432340342351. The reversal of 432340342344 is 443243043234.

432340342344 is a `hidden beast` number, since 43 + 234 + 0 + 3 + 42 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 432340342299 and 432340342308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000787614 + ... + 1000788045.

It is an arithmetic number, because the mean of its divisors is an integer number (37529543625).

Almost surely, 2432340342344 is an apocalyptic number.

It is an amenable number.

432340342344 is an abundant number, since it is smaller than the sum of its proper divisors (768605053656).

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

432340342344 is a wasteful number, since it uses less digits than its factorization.

432340342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001575674 (or 2001575664 counting only the distinct ones).

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

Adding to 432340342344 its reverse (443243043234), we get a palindrome (875583385578).

The spelling of 432340342344 in words is "four hundred thirty-two billion, three hundred forty million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2001575659 4003151318 6004726977 8006302636 12009453954 16012605272 18014180931 24018907908 36028361862 48037815816 54042542793 72056723724 108085085586 144113447448 216170171172 432340342344