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234334016 = 2671633209
BaseRepresentation
bin11011111011110…
…10011101000000
3121022221101211122
431331322131000
5434442142031
635130331412
75543543360
oct1575723500
9538841748
10234334016
11110303684
1266589b68
1339718ba7
142319c9a0
151588c47b
hexdf7a740

234334016 has 56 divisors (see below), whose sum is σ = 534863040. Its totient is φ = 99781632.

The previous prime is 234334013. The next prime is 234334081. The reversal of 234334016 is 610433432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234334013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71420 + ... + 74628.

Almost surely, 2234334016 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 234334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267431520).

234334016 is an abundant number, since it is smaller than the sum of its proper divisors (300529024).

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

234334016 is a wasteful number, since it uses less digits than its factorization.

234334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 234334016 is about 15307.9723020392. The cubic root of 234334016 is about 616.5170786261.

Adding to 234334016 its reverse (610433432), we get a palindrome (844767448).

The spelling of 234334016 in words is "two hundred thirty-four million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 3209 4564 5216 6418 9128 10432 12836 18256 22463 25672 36512 44926 51344 73024 89852 102688 179704 205376 359408 523067 718816 1046134 1437632 2092268 3661469 4184536 7322938 8369072 14645876 16738144 29291752 33476288 58583504 117167008 234334016