Search a number
-
+
234301440 = 2113529263
BaseRepresentation
bin11011111011100…
…10100000000000
3121022212202011010
431331302200000
5434440121230
635125520520
75543346402
oct1575624000
9538782133
10234301440
1111029115a
1266573140
1339707109
1423190b72
15158829b0
hexdf72800

234301440 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 60096512.

The previous prime is 234301387. The next prime is 234301477. The reversal of 234301440 is 44103432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890749 + ... + 891011.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2234301440 is an apocalyptic number.

234301440 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 234301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

234301440 is an abundant number, since it is smaller than the sum of its proper divisors (544076160).

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

234301440 is a wasteful number, since it uses less digits than its factorization.

234301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 234301440 is about 15306.9082443190. The cubic root of 234301440 is about 616.4885088785.

Adding to 234301440 its reverse (44103432), we get a palindrome (278404872).

The spelling of 234301440 in words is "two hundred thirty-four million, three hundred one thousand, four hundred forty".