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234242784 = 2532813343
BaseRepresentation
bin11011111011001…
…00001011100000
3121022202202200200
431331210023200
5434431232114
635124345200
75543013366
oct1575441340
9538682620
10234242784
11110251086
1266545200
13396b64c9
1423177636
1515870409
hexdf642e0

234242784 has 36 divisors (see below), whose sum is σ = 666128736. Its totient is φ = 78080832.

The previous prime is 234242761. The next prime is 234242797. The reversal of 234242784 is 487242432.

234242784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406384 + ... + 406959.

It is an arithmetic number, because the mean of its divisors is an integer number (18503576).

Almost surely, 2234242784 is an apocalyptic number.

234242784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234242784 is an abundant number, since it is smaller than the sum of its proper divisors (431885952).

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

234242784 is a wasteful number, since it uses less digits than its factorization.

234242784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813359 (or 813348 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 234242784 is about 15304.9921267539. The cubic root of 234242784 is about 616.4370598165.

The spelling of 234242784 in words is "two hundred thirty-four million, two hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 813343 1626686 2440029 3253372 4880058 6506744 7320087 9760116 13013488 14640174 19520232 26026976 29280348 39040464 58560696 78080928 117121392 234242784