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34032648 = 23313195741
BaseRepresentation
bin1000000111010…
…0110000001000
32101001001000110
42001310300020
532203021043
63213234320
7562162356
oct201646010
971031013
1034032648
1118235261
12b4929a0
137087680
14473c7d6
152ec3b33
hex2074c08

34032648 has 64 divisors (see below), whose sum is σ = 96465600. Its totient is φ = 9918720.

The previous prime is 34032641. The next prime is 34032671. The reversal of 34032648 is 84623043.

It is a super-2 number, since 2×340326482 = 2316442259783808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34032641) 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, 3058 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (1507275).

Almost surely, 234032648 is an apocalyptic number.

34032648 is a gapful number since it is divisible by the number (38) 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 34032648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48232800).

34032648 is an abundant number, since it is smaller than the sum of its proper divisors (62432952).

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

34032648 is a wasteful number, since it uses less digits than its factorization.

34032648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34032648 is about 5833.7507660167. The cubic root of 34032648 is about 324.0648399419.

The spelling of 34032648 in words is "thirty-four million, thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5741 5928 11482 17223 22964 34446 45928 68892 74633 109079 137784 149266 218158 223899 298532 327237 436316 447798 597064 654474 872632 895596 1308948 1418027 1791192 2617896 2836054 4254081 5672108 8508162 11344216 17016324 34032648