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243655040 = 2753112281
BaseRepresentation
bin11101000010111…
…10000110000000
3121222110221212202
432201132012000
5444333430130
640102212332
76016014356
oct1641360600
9558427782
10243655040
1111559a702
12697240a8
133b6306a5
14245077d6
15165ce145
hexe85e180

243655040 has 64 divisors (see below), whose sum is σ = 601326720. Its totient is φ = 94310400.

The previous prime is 243655037. The next prime is 243655043. The reversal of 243655040 is 40556342.

It is an interprime number because it is at equal distance from previous prime (243655037) and next prime (243655043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 243654994 and 243655012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243655043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13700 + ... + 25980.

It is an arithmetic number, because the mean of its divisors is an integer number (9395730).

Almost surely, 2243655040 is an apocalyptic number.

243655040 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 243655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300663360).

243655040 is an abundant number, since it is smaller than the sum of its proper divisors (357671680).

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

243655040 is a wasteful number, since it uses less digits than its factorization.

243655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 243655040 is about 15609.4535458484. The cubic root of 243655040 is about 624.5853591109.

The spelling of 243655040 in words is "two hundred forty-three million, six hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 12281 19840 24562 49124 61405 98248 122810 196496 245620 380711 392992 491240 761422 785984 982480 1522844 1571968 1903555 1964960 3045688 3807110 3929920 6091376 7614220 7859840 12182752 15228440 24365504 30456880 48731008 60913760 121827520 243655040