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242134000 = 2453121067
BaseRepresentation
bin11100110111010…
…10101111110000
3121212121200101221
432123222233300
5443441242000
640005434424
76000051013
oct1633525760
9555550357
10242134000
11114750949
126910ba14
133b21a274
142422d37a
15163cd61a
hexe6eabf0

242134000 has 40 divisors (see below), whose sum is σ = 585484848. Its totient is φ = 96852800.

The previous prime is 242133979. The next prime is 242134037. The reversal of 242134000 is 431242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58534 + ... + 62533.

Almost surely, 2242134000 is an apocalyptic number.

242134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134000 is an abundant number, since it is smaller than the sum of its proper divisors (343350848).

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

242134000 is a wasteful number, since it uses less digits than its factorization.

242134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121090 (or 121074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242134000 is about 15560.6555131845. The cubic root of 242134000 is about 623.2829671971.

Adding to 242134000 its reverse (431242), we get a palindrome (242565242).

The spelling of 242134000 in words is "two hundred forty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 121067 242134 484268 605335 968536 1210670 1937072 2421340 3026675 4842680 6053350 9685360 12106700 15133375 24213400 30266750 48426800 60533500 121067000 242134000