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34235040 = 2535723443
BaseRepresentation
bin1000001010011…
…0001010100000
32101102022122110
42002212022200
532231010130
63221435320
7563664420
oct202461240
971368573
1034235040
1118363324
12b56bb40
137128828
144792480
153013ab0
hex20a62a0

34235040 has 192 divisors, whose sum is σ = 128894976. Its totient is φ = 7468032.

The previous prime is 34235039. The next prime is 34235099. The reversal of 34235040 is 4053243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34234998 and 34235016.

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, 77059 + ... + 77501.

It is an arithmetic number, because the mean of its divisors is an integer number (671328).

Almost surely, 234235040 is an apocalyptic number.

34235040 is a gapful number since it is divisible by the number (30) 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 34235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

34235040 is an abundant number, since it is smaller than the sum of its proper divisors (94659936).

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

34235040 is a wasteful number, since it uses less digits than its factorization.

34235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34235040 is about 5851.0716967065. The cubic root of 34235040 is about 324.7059747087.

Adding to 34235040 its reverse (4053243), we get a palindrome (38288283).

The spelling of 34235040 in words is "thirty-four million, two hundred thirty-five thousand, forty".