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242320128 = 283315521
BaseRepresentation
bin11100111000110…
…00001100000000
3121212222010201120
432130120030000
5444013221003
640013432240
76001454451
oct1634301400
9555863646
10242320128
11114868776
126919b680
133b283bbb
142427b128
1516418853
hexe718300

242320128 has 36 divisors (see below), whose sum is σ = 644926968. Its totient is φ = 80773120.

The previous prime is 242320103. The next prime is 242320147. The reversal of 242320128 is 821023242.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242320098 and 242320107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156993 + ... + 158528.

It is an arithmetic number, because the mean of its divisors is an integer number (17914638).

Almost surely, 2242320128 is an apocalyptic number.

It is an amenable number.

242320128 is an abundant number, since it is smaller than the sum of its proper divisors (402606840).

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

242320128 is an equidigital number, since it uses as much as digits as its factorization.

242320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315540 (or 315526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242320128 is about 15566.6350891900. The cubic root of 242320128 is about 623.4426318169.

The spelling of 242320128 in words is "two hundred forty-two million, three hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 315521 631042 946563 1262084 1893126 2524168 3786252 5048336 7572504 10096672 15145008 20193344 30290016 40386688 60580032 80773376 121160064 242320128