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34270404 = 22372167349
BaseRepresentation
bin1000001010111…
…0110011000100
32101111010011020
42002232303010
532233123104
63222311140
7564202500
oct202566304
971433136
1034270404
1118387953
12b5884b0
13713b95c
1447a1300
15301e2d9
hex20aecc4

34270404 has 72 divisors (see below), whose sum is σ = 93844800. Its totient is φ = 9705024.

The previous prime is 34270403. The next prime is 34270421. The reversal of 34270404 is 40407243.

34270404 = 282 + 292 + ... + 4682.

It is not an unprimeable number, because it can be changed into a prime (34270403) 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 23 ways as a sum of consecutive naturals, for example, 98022 + ... + 98370.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 234270404 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 34270404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46922400).

34270404 is an abundant number, since it is smaller than the sum of its proper divisors (59574396).

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

34270404 is a wasteful number, since it uses less digits than its factorization.

34270404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34270404 is about 5854.0929271750. The cubic root of 34270404 is about 324.8177408066.

Adding to 34270404 its reverse (40407243), we get a palindrome (74677647).

The spelling of 34270404 in words is "thirty-four million, two hundred seventy thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 349 501 588 668 698 1002 1047 1169 1396 2004 2094 2338 2443 3507 4188 4676 4886 7014 7329 8183 9772 14028 14658 16366 17101 24549 29316 32732 34202 49098 51303 58283 68404 98196 102606 116566 174849 205212 233132 349698 407981 699396 815962 1223943 1631924 2447886 2855867 4895772 5711734 8567601 11423468 17135202 34270404