Search a number
-
+
34000000 = 275617
BaseRepresentation
bin1000000110110…
…0110010000000
32100222101020021
42001230302000
532201000000
63212423224
7561665236
oct201546200
970871207
1034000000
1118212781
12b477b14
137075858
144730956
152eb911a
hex206cc80

34000000 has 112 divisors (see below), whose sum is σ = 89647290. Its totient is φ = 12800000.

The previous prime is 33999967. The next prime is 34000009. The reversal of 34000000 is 43.

It can be written as a sum of positive squares in 7 ways, for example, as 13133376 + 20866624 = 3624^2 + 4568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999992 + ... + 2000008.

Almost surely, 234000000 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 34000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823645).

34000000 is an abundant number, since it is smaller than the sum of its proper divisors (55647290).

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

34000000 is an frugal number, since it uses more digits than its factorization.

34000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 34000000 is about 5830.9518948453. The cubic root of 34000000 is about 323.9611801277.

Adding to 34000000 its reverse (43), we get a palindrome (34000043).

The spelling of 34000000 in words is "thirty-four million", and thus it is an aban number and an eban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2176 2500 2720 3125 3200 3400 4000 4250 5000 5440 6250 6800 8000 8500 10000 10625 10880 12500 13600 15625 16000 17000 20000 21250 25000 27200 31250 34000 40000 42500 50000 53125 54400 62500 68000 80000 85000 100000 106250 125000 136000 170000 200000 212500 250000 265625 272000 340000 400000 425000 500000 531250 680000 850000 1000000 1062500 1360000 1700000 2000000 2125000 3400000 4250000 6800000 8500000 17000000 34000000