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432140868 = 2232311273049
BaseRepresentation
bin11001110000011…
…111001001000100
31010010011000211100
4121300133021010
51341112001433
6110514140100
713465064625
oct3160371104
91103130740
10432140868
11201a28915
12100881630
136b6b5b73
144156da4c
1527e11b13
hex19c1f244

432140868 has 72 divisors (see below), whose sum is σ = 1136844800. Its totient is φ = 138257280.

The previous prime is 432140843. The next prime is 432140869. The reversal of 432140868 is 868041234.

432140868 is a `hidden beast` number, since 432 + 140 + 86 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (432140869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140208 + ... + 143256.

Almost surely, 2432140868 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 432140868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568422400).

432140868 is an abundant number, since it is smaller than the sum of its proper divisors (704703932).

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

432140868 is a wasteful number, since it uses less digits than its factorization.

432140868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 432140868 is about 20787.9981720222. The cubic root of 432140868 is about 756.0347888585.

The spelling of 432140868 in words is "four hundred thirty-two million, one hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 508 558 762 1116 1143 1524 2286 3049 3937 4572 6098 7874 9147 11811 12196 15748 18294 23622 27441 35433 36588 47244 54882 70866 94519 109764 141732 189038 283557 378076 387223 567114 774446 850671 1134228 1161669 1548892 1701342 2323338 3402684 3485007 4646676 6970014 12003913 13940028 24007826 36011739 48015652 72023478 108035217 144046956 216070434 432140868