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34889900 = 22522953227
BaseRepresentation
bin1000010100011…
…0000010101100
32102122120221112
42011012002230
532412434100
63243451152
7602362553
oct205060254
972576845
1034889900
1118770331
12b826ab8
1372c7916
1448c2d9a
1530e2b35
hex21460ac

34889900 has 72 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 13162240.

The previous prime is 34889891. The next prime is 34889903. The reversal of 34889900 is 998843.

It is not an unprimeable number, because it can be changed into a prime (34889903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153587 + ... + 153813.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 234889900 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 34889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

34889900 is an abundant number, since it is smaller than the sum of its proper divisors (45261220).

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

34889900 is a wasteful number, since it uses less digits than its factorization.

34889900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 34889900 is about 5906.7673053879. The cubic root of 34889900 is about 326.7632760672.

The spelling of 34889900 in words is "thirty-four million, eight hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 145 212 227 265 290 454 530 580 725 908 1060 1135 1325 1450 1537 2270 2650 2900 3074 4540 5300 5675 6148 6583 7685 11350 12031 13166 15370 22700 24062 26332 30740 32915 38425 48124 60155 65830 76850 120310 131660 153700 164575 240620 300775 329150 348899 601550 658300 697798 1203100 1395596 1744495 3488990 6977980 8722475 17444950 34889900