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34264664 = 2372337719
BaseRepresentation
bin1000001010110…
…1011001011000
32101110211021122
42002231121120
532232432124
63222224412
7564146660
oct202553130
971424248
1034264664
1118383605
12b585108
137139165
14479d1a0
15301c75e
hex20ad658

34264664 has 64 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 13647744.

The previous prime is 34264661. The next prime is 34264669. The reversal of 34264664 is 46646243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47297 + ... + 48015.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 234264664 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 34264664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

34264664 is an abundant number, since it is smaller than the sum of its proper divisors (44532136).

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

34264664 is a wasteful number, since it uses less digits than its factorization.

34264664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

The square root of 34264664 is about 5853.6026513592. The cubic root of 34264664 is about 324.7996050615.

The spelling of 34264664 in words is "thirty-four million, two hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 148 161 184 259 296 322 518 644 719 851 1036 1288 1438 1702 2072 2876 3404 5033 5752 5957 6808 10066 11914 16537 20132 23828 26603 33074 40264 47656 53206 66148 106412 115759 132296 186221 212824 231518 372442 463036 611869 744884 926072 1223738 1489768 2447476 4283083 4894952 8566166 17132332 34264664