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243090432 = 21032132029
BaseRepresentation
bin11100111110101…
…00010000000000
3121221102021101100
432133110100000
5444212343212
640042134400
76011143314
oct1637242000
9557367340
10243090432
11115244492
12694b1400
133b4936c0
14243dbb44
151651bbdc
hexe7d4400

243090432 has 132 divisors (see below), whose sum is σ = 756284620. Its totient is φ = 74760192.

The previous prime is 243090409. The next prime is 243090457. The reversal of 243090432 is 234090342.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158155776 + 84934656 = 12576^2 + 9216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 243090396 and 243090405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118794 + ... + 120822.

Almost surely, 2243090432 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 243090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378142310).

243090432 is an abundant number, since it is smaller than the sum of its proper divisors (513194188).

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

243090432 is a wasteful number, since it uses less digits than its factorization.

243090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 243090432 is about 15591.3576060586. The cubic root of 243090432 is about 624.1025472492.

The spelling of 243090432 in words is "two hundred forty-three million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2029 2304 2496 3072 3328 3744 4058 4608 4992 6087 6656 7488 8116 9216 9984 12174 13312 14976 16232 18261 19968 24348 26377 29952 32464 36522 39936 48696 52754 59904 64928 73044 79131 97392 105508 119808 129856 146088 158262 194784 211016 237393 259712 292176 316524 389568 422032 474786 519424 584352 633048 779136 844064 949572 1038848 1168704 1266096 1558272 1688128 1899144 2077696 2337408 2532192 3116544 3376256 3798288 4674816 5064384 6233088 6752512 7596576 9349632 10128768 13505024 15193152 18699264 20257536 27010048 30386304 40515072 60772608 81030144 121545216 243090432