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34969536 = 26337359
BaseRepresentation
bin1000010101100…
…1011111000000
32102210122012000
42011121133000
532423011121
63245304000
7603144000
oct205313700
972718160
1034969536
1118815148
12b865000
137324c44
144904000
15310b526
hex21597c0

34969536 has 224 divisors, whose sum is σ = 121920000. Its totient is φ = 9821952.

The previous prime is 34969507. The next prime is 34969537. The reversal of 34969536 is 63596943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34969491 and 34969500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34969537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592675 + ... + 592733.

Almost surely, 234969536 is an apocalyptic number.

34969536 is a gapful number since it is divisible by the number (36) 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 34969536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960000).

34969536 is an abundant number, since it is smaller than the sum of its proper divisors (86950464).

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

34969536 is an equidigital number, since it uses as much as digits as its factorization.

34969536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 34969536 is about 5913.5045446841. The cubic root of 34969536 is about 327.0116989334.

The spelling of 34969536 in words is "thirty-four million, nine hundred sixty-nine thousand, five hundred thirty-six".