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243553240 = 23573723509
BaseRepresentation
bin11101000010001…
…01001111011000
3121222021210020101
432201011033120
5444322200430
640100105144
76015111520
oct1641051730
9558253211
10243553240
11115530177
12696951b4
133b5c6258
14244bc680
15165addca
hexe8453d8

243553240 has 64 divisors (see below), whose sum is σ = 643233600. Its totient is φ = 81243648.

The previous prime is 243553199. The next prime is 243553253. The reversal of 243553240 is 42355342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 243553199 and 243553208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 22114.

It is an arithmetic number, because the mean of its divisors is an integer number (10050525).

Almost surely, 2243553240 is an apocalyptic number.

243553240 is a gapful number since it is divisible by the number (20) 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 243553240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321616800).

243553240 is an abundant number, since it is smaller than the sum of its proper divisors (399680360).

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

243553240 is a wasteful number, since it uses less digits than its factorization.

243553240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23564 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 243553240 is about 15606.1923607266. The cubic root of 243553240 is about 624.4983622831.

The spelling of 243553240 in words is "two hundred forty-three million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 23509 47018 94036 117545 164563 188072 235090 329126 470180 658252 822815 869833 940360 1316504 1645630 1739666 3291260 3479332 4349165 6088831 6582520 6958664 8698330 12177662 17396660 24355324 30444155 34793320 48710648 60888310 121776620 243553240