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234005140 = 225194314321
BaseRepresentation
bin11011111001010…
…10001010010100
3121022022200201001
431330222022110
5434401131030
635115313044
75541003505
oct1574521224
9538280631
10234005140
111100a9586
126644b784
13396322a5
1423114bac
1515824cca
hexdf2a294

234005140 has 48 divisors (see below), whose sum is σ = 529341120. Its totient is φ = 86607360.

The previous prime is 234005113. The next prime is 234005141. The reversal of 234005140 is 41500432.

234005140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234005141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9180 + ... + 23500.

It is an arithmetic number, because the mean of its divisors is an integer number (11027940).

Almost surely, 2234005140 is an apocalyptic number.

234005140 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 234005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

234005140 is an abundant number, since it is smaller than the sum of its proper divisors (295335980).

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

234005140 is a wasteful number, since it uses less digits than its factorization.

234005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14392 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 234005140 is about 15297.2265460115. The cubic root of 234005140 is about 616.2285266955.

Adding to 234005140 its reverse (41500432), we get a palindrome (275505572).

The spelling of 234005140 in words is "two hundred thirty-four million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 14321 16340 28642 57284 71605 143210 272099 286420 544198 615803 1088396 1231606 1360495 2463212 2720990 3079015 5441980 6158030 11700257 12316060 23400514 46801028 58501285 117002570 234005140