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34382704 = 2417196653
BaseRepresentation
bin1000001100101…
…0001101110000
32101200211012111
42003022031300
532300221304
63224535104
7565151056
oct203121560
971624174
1034382704
1118454264
12b621494
13717aac5
1447d01d6
153042704
hex20ca370

34382704 has 40 divisors (see below), whose sum is σ = 74258640. Its totient is φ = 15326208.

The previous prime is 34382701. The next prime is 34382749. The reversal of 34382704 is 40728343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34382701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842 + ... + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (1856466).

Almost surely, 234382704 is an apocalyptic number.

34382704 is a gapful number since it is divisible by the number (34) 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 34382704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37129320).

34382704 is an abundant number, since it is smaller than the sum of its proper divisors (39875936).

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

34382704 is a wasteful number, since it uses less digits than its factorization.

34382704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 34382704 is about 5863.6766622999. The cubic root of 34382704 is about 325.1721502173.

The spelling of 34382704 in words is "thirty-four million, three hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 6653 13306 26612 53224 106448 113101 126407 226202 252814 452404 505628 904808 1011256 1809616 2022512 2148919 4297838 8595676 17191352 34382704