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34026016 = 252383557
BaseRepresentation
bin1000000111001…
…1001000100000
32101000200220211
42001303020200
532202313031
63213143504
7562134133
oct201631040
971020824
1034026016
1118230282
12b48ab94
13708464b
14473a21a
152ec1bb1
hex2073220

34026016 has 48 divisors (see below), whose sum is σ = 70870464. Its totient is φ = 16048384.

The previous prime is 34026001. The next prime is 34026043. The reversal of 34026016 is 61062043.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60810 + ... + 61366.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 234026016 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 34026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35435232).

34026016 is an abundant number, since it is smaller than the sum of its proper divisors (36844448).

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

34026016 is a wasteful number, since it uses less digits than its factorization.

34026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34026016 is about 5833.1823218549. The cubic root of 34026016 is about 324.0437882189.

Adding to 34026016 its reverse (61062043), we get a palindrome (95088059).

The spelling of 34026016 in words is "thirty-four million, twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 557 664 736 1114 1328 1909 2228 2656 3818 4456 7636 8912 12811 15272 17824 25622 30544 46231 51244 61088 92462 102488 184924 204976 369848 409952 739696 1063313 1479392 2126626 4253252 8506504 17013008 34026016