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34820148 = 223111759263
BaseRepresentation
bin1000010011010…
…1000000110100
32102112001021010
42010311000310
532403221043
63242152220
7601652316
oct204650064
972461233
1034820148
1118722990
12b7b2670
1372a1c4c
1448a57b6
1530cc133
hex2135034

34820148 has 96 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 9725440.

The previous prime is 34820143. The next prime is 34820171. The reversal of 34820148 is 84102843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132265 + ... + 132527.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 234820148 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 34820148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

34820148 is an abundant number, since it is smaller than the sum of its proper divisors (60980172).

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

34820148 is a wasteful number, since it uses less digits than its factorization.

34820148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 34820148 is about 5900.8599373312. The cubic root of 34820148 is about 326.5453753968.

The spelling of 34820148 in words is "thirty-four million, eight hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 59 66 68 102 118 132 177 187 204 236 263 354 374 526 561 649 708 748 789 1003 1052 1122 1298 1578 1947 2006 2244 2596 2893 3009 3156 3894 4012 4471 5786 6018 7788 8679 8942 11033 11572 12036 13413 15517 17358 17884 22066 26826 31034 33099 34716 44132 46551 49181 53652 62068 66198 93102 98362 132396 147543 170687 186204 196724 263789 295086 341374 512061 527578 590172 682748 791367 1024122 1055156 1582734 2048244 2901679 3165468 5803358 8705037 11606716 17410074 34820148