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234239040 = 2634571291
BaseRepresentation
bin11011111011000…
…11010001000000
3121022202120120000
431331203101000
5434431122130
635124320000
75542666440
oct1575432100
9538676500
10234239040
11110249292
1266543000
13396b48a9
1423176120
151586e260
hexdf63440

234239040 has 280 divisors, whose sum is σ = 952999872. Its totient is φ = 53498880.

The previous prime is 234239021. The next prime is 234239041. The reversal of 234239040 is 40932432.

It is a happy number.

234239040 is a `hidden beast` number, since 234 + 2 + 390 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 234238995 and 234239013.

It is not an unprimeable number, because it can be changed into a prime (234239041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180795 + ... + 182085.

Almost surely, 2234239040 is an apocalyptic number.

234239040 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 234239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476499936).

234239040 is an abundant number, since it is smaller than the sum of its proper divisors (718760832).

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

234239040 is a wasteful number, since it uses less digits than its factorization.

234239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 234239040 is about 15304.8698132326. The cubic root of 234239040 is about 616.4337755422.

The spelling of 234239040 in words is "two hundred thirty-four million, two hundred thirty-nine thousand, forty".