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432242124 = 223137467563
BaseRepresentation
bin11001110000110…
…111110111001100
31010010100011201120
4121300313313030
51341123221444
6110520240540
713465666056
oct3160676714
91103304646
10432242124
11201a979a6
12100910150
136b71cc92
14415988d6
1527e31b19
hex19c37dcc

432242124 has 48 divisors (see below), whose sum is σ = 1019910528. Its totient is φ = 142469248.

The previous prime is 432242113. The next prime is 432242137. The reversal of 432242124 is 421242234.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 432242094 and 432242103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767467 + ... + 768029.

It is an arithmetic number, because the mean of its divisors is an integer number (21248136).

Almost surely, 2432242124 is an apocalyptic number.

It is an amenable number.

432242124 is an abundant number, since it is smaller than the sum of its proper divisors (587668404).

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

432242124 is a wasteful number, since it uses less digits than its factorization.

432242124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 432242124 is about 20790.4334731145. The cubic root of 432242124 is about 756.0938337101.

Adding to 432242124 its reverse (421242234), we get a palindrome (853484358).

It can be divided in two parts, 432 and 242124, that added together give a triangular number (242556 = T696).

The spelling of 432242124 in words is "four hundred thirty-two million, two hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 137 274 411 467 548 563 822 934 1126 1401 1644 1689 1868 2252 2802 3378 5604 6756 63979 77131 127958 154262 191937 231393 255916 262921 308524 383874 462786 525842 767748 788763 925572 1051684 1577526 3155052 36020177 72040354 108060531 144080708 216121062 432242124