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234103680 = 2732597419
BaseRepresentation
bin11011111010000…
…10001110000000
3121022111200212200
431331002032000
5434412304210
635121353200
75541564006
oct1575021600
9538450780
10234103680
11110166618
1266498800
13396680b5
142313ca76
15158440c0
hexdf42380

234103680 has 192 divisors, whose sum is σ = 818672400. Its totient is φ = 61636608.

The previous prime is 234103669. The next prime is 234103687. The reversal of 234103680 is 86301432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234103687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558511 + ... + 558929.

Almost surely, 2234103680 is an apocalyptic number.

234103680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409336200).

234103680 is an abundant number, since it is smaller than the sum of its proper divisors (584568720).

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

234103680 is a wasteful number, since it uses less digits than its factorization.

234103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 234103680 is about 15300.4470522923. The cubic root of 234103680 is about 616.3150128833.

The spelling of 234103680 in words is "two hundred thirty-four million, one hundred three thousand, six hundred eighty".