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234349440 = 27351341229
BaseRepresentation
bin11011111011111…
…10001110000000
3121022222011222220
431331332032000
5434443140230
635130531040
75543636343
oct1575761600
9538864886
10234349440
11110314226
1266596a80
1339722c10
14231a445a
1515891d10
hexdf7e380

234349440 has 256 divisors, whose sum is σ = 827668800. Its totient is φ = 56033280.

The previous prime is 234349397. The next prime is 234349459. The reversal of 234349440 is 44943432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023246 + ... + 1023474.

Almost surely, 2234349440 is an apocalyptic number.

234349440 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 234349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413834400).

234349440 is an abundant number, since it is smaller than the sum of its proper divisors (593319360).

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

234349440 is a wasteful number, since it uses less digits than its factorization.

234349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 234349440 is about 15308.4760835297. The cubic root of 234349440 is about 616.5306048325.

The spelling of 234349440 in words is "two hundred thirty-four million, three hundred forty-nine thousand, four hundred forty".