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243150432 = 2537536827
BaseRepresentation
bin11100111111000…
…10111001100000
3121221112022200120
432133202321200
5444221303212
640043320240
76011513250
oct1637427140
9557468616
10243150432
11115285578
1269520080
133b4b4ac5
1424415960
151652e88c
hexe7e2e60

243150432 has 96 divisors (see below), whose sum is σ = 743323392. Its totient is φ = 68150784.

The previous prime is 243150419. The next prime is 243150433. The reversal of 243150432 is 234051342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243150433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32203 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (7742952).

Almost surely, 2243150432 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 243150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371661696).

243150432 is an abundant number, since it is smaller than the sum of its proper divisors (500172960).

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

243150432 is a wasteful number, since it uses less digits than its factorization.

243150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 243150432 is about 15593.2816302406. The cubic root of 243150432 is about 624.1538903812.

The spelling of 243150432 in words is "two hundred forty-three million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 6827 8904 11872 13654 17808 20481 27308 35616 40962 47789 54616 81924 95578 109232 143367 163848 191156 218464 286734 327696 361831 382312 573468 655392 723662 764624 1085493 1146936 1447324 1529248 2170986 2293872 2532817 2894648 4341972 4587744 5065634 5789296 7598451 8683944 10131268 11578592 15196902 17367888 20262536 30393804 34735776 40525072 60787608 81050144 121575216 243150432