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34061744 = 2417971291
BaseRepresentation
bin1000000111101…
…1110110110000
32101002111221002
42001323312300
532204433434
63214021132
7562343243
oct201736660
971074832
1034061744
1118255102
12b4a77a8
1370979a2
14474925a
152ecc57e
hex207bdb0

34061744 has 40 divisors (see below), whose sum is σ = 70651728. Its totient is φ = 15851520.

The previous prime is 34061717. The next prime is 34061749. The reversal of 34061744 is 44716043.

34061744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34061749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25739 + ... + 27029.

Almost surely, 234061744 is an apocalyptic number.

34061744 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 34061744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35325864).

34061744 is an abundant number, since it is smaller than the sum of its proper divisors (36589984).

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

34061744 is a wasteful number, since it uses less digits than its factorization.

34061744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 34061744 is about 5836.2439976409. The cubic root of 34061744 is about 324.1571660398.

Adding to 34061744 its reverse (44716043), we get a palindrome (78777787).

The spelling of 34061744 in words is "thirty-four million, sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1291 1552 1649 2582 3298 5164 6596 10328 13192 20656 21947 26384 43894 87788 125227 175576 250454 351152 500908 1001816 2003632 2128859 4257718 8515436 17030872 34061744