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34999900 = 225213219109
BaseRepresentation
bin1000010110000…
…0111001011100
32102212011211121
42011200321130
532424444100
63250100324
7603331345
oct205407134
972764747
1034999900
1118835a41
12b87a6a4
137335a00
1449110cc
15311551a
hex2160e5c

34999900 has 108 divisors (see below), whose sum is σ = 87364200. Its totient is φ = 12130560.

The previous prime is 34999879. The next prime is 34999901. The reversal of 34999900 is 999943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34999901) 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 35 ways as a sum of consecutive naturals, for example, 321046 + ... + 321154.

Almost surely, 234999900 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 34999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43682100).

34999900 is an abundant number, since it is smaller than the sum of its proper divisors (52364300).

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

34999900 is a wasteful number, since it uses less digits than its factorization.

34999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 43.

The square root of 34999900 is about 5916.0713315510. The cubic root of 34999900 is about 327.1063194884.

Adding to 34999900 its sum of digits (43), we get a palindrome (34999943).

The spelling of 34999900 in words is "thirty-four million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 109 130 169 190 218 247 260 325 338 380 436 475 494 545 650 676 845 950 988 1090 1235 1300 1417 1690 1900 2071 2180 2470 2725 2834 3211 3380 4142 4225 4940 5450 5668 6175 6422 7085 8284 8450 10355 10900 12350 12844 14170 16055 16900 18421 20710 24700 26923 28340 32110 35425 36842 41420 51775 53846 64220 70850 73684 80275 92105 103550 107692 134615 141700 160550 184210 207100 269230 321100 349999 368420 460525 538460 673075 699998 921050 1346150 1399996 1749995 1842100 2692300 3499990 6999980 8749975 17499950 34999900