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34385448 = 23331113409
BaseRepresentation
bin1000001100101…
…0111000101000
32101200221222010
42003022320220
532300313243
63224555520
7565162056
oct203127050
971627863
1034385448
1118456329
12b622ba0
13717c126
1447d11d6
153043433
hex20cae28

34385448 has 64 divisors (see below), whose sum is σ = 89740800. Its totient is φ = 10967040.

The previous prime is 34385447. The next prime is 34385453. The reversal of 34385448 is 84458343.

It is a happy number.

It is a super-3 number, since 3×343854483 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34385443) 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, 83868 + ... + 84276.

It is an arithmetic number, because the mean of its divisors is an integer number (1402200).

Almost surely, 234385448 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 34385448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870400).

34385448 is an abundant number, since it is smaller than the sum of its proper divisors (55355352).

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

34385448 is a wasteful number, since it uses less digits than its factorization.

34385448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 34385448 is about 5863.9106405197. The cubic root of 34385448 is about 325.1808003867.

The spelling of 34385448 in words is "thirty-four million, three hundred eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 248 339 372 409 452 678 744 818 904 1227 1356 1636 2454 2712 3272 3503 4908 7006 9816 10509 12679 14012 21018 25358 28024 38037 42036 46217 50716 76074 84072 92434 101432 138651 152148 184868 277302 304296 369736 554604 1109208 1432727 2865454 4298181 5730908 8596362 11461816 17192724 34385448