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234131040 = 253351113379
BaseRepresentation
bin11011111010010…
…00111001100000
3121022120002102000
431331020321200
5434414143130
635122124000
75542036533
oct1575107140
9538502360
10234131040
11110185130
12664b0600
13396776a0
1423148a1a
151584c260
hexdf48e60

234131040 has 384 divisors, whose sum is σ = 965260800. Its totient is φ = 52254720.

The previous prime is 234131039. The next prime is 234131041. The reversal of 234131040 is 40131432.

234131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234131039) and next prime (234131041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234131041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617571 + ... + 617949.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2234131040 is an apocalyptic number.

234131040 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 234131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

234131040 is an abundant number, since it is smaller than the sum of its proper divisors (731129760).

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

234131040 is a wasteful number, since it uses less digits than its factorization.

234131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234131040 is about 15301.3411176929. The cubic root of 234131040 is about 616.3390217924.

Adding to 234131040 its reverse (40131432), we get a palindrome (274262472).

The spelling of 234131040 in words is "two hundred thirty-four million, one hundred thirty-one thousand, forty".