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34051104 = 253529151
BaseRepresentation
bin1000000111100…
…1010000100000
32101001222100000
42001321100200
532204113404
63213500000
7562300233
oct201712040
971058300
1034051104
111824810a
12b4a1600
137092ba9
14474541a
152ec9339
hex2079420

34051104 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 10886400.

The previous prime is 34051099. The next prime is 34051111. The reversal of 34051104 is 40115043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225429 + ... + 225579.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 234051104 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 34051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34051104 is an abundant number, since it is smaller than the sum of its proper divisors (70518816).

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

34051104 is a wasteful number, since it uses less digits than its factorization.

34051104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34051104 is about 5835.3323812787. The cubic root of 34051104 is about 324.1234097781.

Adding to 34051104 its reverse (40115043), we get a palindrome (74166147).

The spelling of 34051104 in words is "thirty-four million, fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 151 162 174 216 232 243 261 288 302 324 348 432 453 464 486 522 604 648 696 783 864 906 928 972 1044 1208 1296 1359 1392 1566 1812 1944 2088 2349 2416 2592 2718 2784 3132 3624 3888 4077 4176 4379 4698 4832 5436 6264 7047 7248 7776 8154 8352 8758 9396 10872 12231 12528 13137 14094 14496 16308 17516 18792 21744 24462 25056 26274 28188 32616 35032 36693 37584 39411 43488 48924 52548 56376 65232 70064 73386 75168 78822 97848 105096 112752 118233 130464 140128 146772 157644 195696 210192 225504 236466 293544 315288 354699 391392 420384 472932 587088 630576 709398 945864 1064097 1174176 1261152 1418796 1891728 2128194 2837592 3783456 4256388 5675184 8512776 11350368 17025552 34051104