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34069248 = 28343153
BaseRepresentation
bin1000000111110…
…1101100000000
32101002220020000
42001331230000
532210203443
63214120000
7562404153
oct201755400
971086200
1034069248
111825a804
12b4b0000
13709b225
14474bc9a
152ece8d3
hex207db00

34069248 has 180 divisors, whose sum is σ = 106843968. Its totient is φ = 10782720.

The previous prime is 34069247. The next prime is 34069331. The reversal of 34069248 is 84296043.

It is a happy number.

34069248 is a `hidden beast` number, since 3 + 406 + 9 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34069247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642790 + ... + 642842.

Almost surely, 234069248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421984).

34069248 is an abundant number, since it is smaller than the sum of its proper divisors (72774720).

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

34069248 is an equidigital number, since it uses as much as digits as its factorization.

34069248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34069248 is about 5836.8868414592. The cubic root of 34069248 is about 324.1809688606.

The spelling of 34069248 in words is "thirty-four million, sixty-nine thousand, two hundred forty-eight".