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432270112 = 25373311103
BaseRepresentation
bin11001110000111…
…110101100100000
31010010101121010011
4121300332230200
51341130120422
6110521014304
713466143501
oct3160765440
91103347104
10432270112
11202006a2a
12100924394
136b72c941
14415a4ba8
1527e3a077
hex19c3eb20

432270112 has 48 divisors (see below), whose sum is σ = 877468032. Its totient is φ = 209468160.

The previous prime is 432270089. The next prime is 432270127. The reversal of 432270112 is 211072234.

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, 391353 + ... + 392455.

It is an arithmetic number, because the mean of its divisors is an integer number (18280584).

Almost surely, 2432270112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432270112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438734016).

432270112 is an abundant number, since it is smaller than the sum of its proper divisors (445197920).

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

432270112 is a wasteful number, since it uses less digits than its factorization.

432270112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 432270112 is about 20791.1065602579. The cubic root of 432270112 is about 756.1101525711.

The spelling of 432270112 in words is "four hundred thirty-two million, two hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 296 331 592 662 1103 1184 1324 2206 2648 4412 5296 8824 10592 12247 17648 24494 35296 40811 48988 81622 97976 163244 195952 326488 365093 391904 652976 730186 1305952 1460372 2920744 5841488 11682976 13508441 27016882 54033764 108067528 216135056 432270112