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34344032 = 253189389
BaseRepresentation
bin1000001100000…
…0110001100000
32101121212011012
42003000301200
532243002112
63224040052
7564630242
oct203006140
971555135
1034344032
11184281a8
12b603028
137166318
1447c0092
153036022
hex20c0c60

34344032 has 48 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 16389120.

The previous prime is 34343987. The next prime is 34344059. The reversal of 34344032 is 23044343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34343989 and 34344007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88094 + ... + 88482.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 234344032 is an apocalyptic number.

34344032 is a gapful number since it is divisible by the number (32) 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 34344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

34344032 is an abundant number, since it is smaller than the sum of its proper divisors (36417568).

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

34344032 is a wasteful number, since it uses less digits than its factorization.

34344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 34344032 is about 5860.3781447958. The cubic root of 34344032 is about 325.0501918537.

Adding to 34344032 its reverse (23044343), we get a palindrome (57388375).

The spelling of 34344032 in words is "thirty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 89 124 178 248 356 389 496 712 778 992 1424 1556 2759 2848 3112 5518 6224 11036 12059 12448 22072 24118 34621 44144 48236 69242 88288 96472 138484 192944 276968 385888 553936 1073251 1107872 2146502 4293004 8586008 17172016 34344032