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243055032 = 233112953599
BaseRepresentation
bin11100111110010…
…11100110111000
3121221100110211020
432133023212320
5444210230112
640041302440
76010635153
oct1637134670
9557313736
10243055032
1111521a930
1269494a20
133b48055c
14243ccc9a
151651148c
hexe7cb9b8

243055032 has 128 divisors (see below), whose sum is σ = 699840000. Its totient is φ = 69655040.

The previous prime is 243055031. The next prime is 243055039. The reversal of 243055032 is 230550342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243054993 and 243055011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243055031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 405469 + ... + 406067.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2243055032 is an apocalyptic number.

243055032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243055032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920000).

243055032 is an abundant number, since it is smaller than the sum of its proper divisors (456784968).

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

243055032 is a wasteful number, since it uses less digits than its factorization.

243055032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 243055032 is about 15590.2223204161. Note that the first 3 decimals coincide. The cubic root of 243055032 is about 624.0722508385.

It can be divided in two parts, 2 and 43055032, that added together give a palindrome (43055034).

The spelling of 243055032 in words is "two hundred forty-three million, fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 53 58 66 87 88 106 116 132 159 174 212 232 264 318 319 348 424 583 599 636 638 696 957 1166 1198 1272 1276 1537 1749 1797 1914 2332 2396 2552 3074 3498 3594 3828 4611 4664 4792 6148 6589 6996 7188 7656 9222 12296 13178 13992 14376 16907 17371 18444 19767 26356 31747 33814 34742 36888 39534 50721 52113 52712 63494 67628 69484 79068 95241 101442 104226 126988 135256 138968 158136 190482 191081 202884 208452 253976 349217 380964 382162 405768 416904 573243 698434 761928 764324 920663 1047651 1146486 1396868 1528648 1841326 2095302 2292972 2761989 2793736 3682652 4190604 4585944 5523978 7365304 8381208 10127293 11047956 20254586 22095912 30381879 40509172 60763758 81018344 121527516 243055032