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234242432 = 2710118119
BaseRepresentation
bin11011111011001…
…00000110000000
3121022202202012122
431331210012000
5434431224212
635124343412
75543012354
oct1575440600
9538682178
10234242432
11110250896
1266544b68
13396b62b8
1423177464
1515870272
hexdf64180

234242432 has 32 divisors (see below), whose sum is σ = 471301200. Its totient is φ = 115955200.

The previous prime is 234242429. The next prime is 234242441.

It is a happy number.

234242432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 3869 + ... + 21987.

Almost surely, 2234242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235650600).

234242432 is an abundant number, since it is smaller than the sum of its proper divisors (237058768).

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

234242432 is a wasteful number, since it uses less digits than its factorization.

234242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234 (or 18222 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 234242432 is about 15304.9806272337. The cubic root of 234242432 is about 616.4367510401.

The spelling of 234242432 in words is "two hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 18119 36238 72476 144952 289904 579808 1159616 1830019 2319232 3660038 7320076 14640152 29280304 58560608 117121216 234242432