[go: up one dir, main page]

Search a number
-
+
34040000 = 26542337
BaseRepresentation
bin1000000111011…
…0100011000000
32101001102002202
42001312203000
532203240000
63213332332
7562222661
oct201664300
971042082
1034040000
111823a835
12b4970a8
13708ab17
144741368
152ec5dd5
hex20768c0

34040000 has 140 divisors (see below), whose sum is σ = 90458544. Its totient is φ = 12672000.

The previous prime is 34039987. The next prime is 34040003. The reversal of 34040000 is 4043.

It is not an unprimeable number, because it can be changed into a prime (34040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919982 + ... + 920018.

Almost surely, 234040000 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 34040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45229272).

34040000 is an abundant number, since it is smaller than the sum of its proper divisors (56418544).

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

34040000 is an equidigital number, since it uses as much as digits as its factorization.

34040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34040000 is about 5834.3808583259. The cubic root of 34040000 is about 324.0881739393.

Adding to 34040000 its reverse (4043), we get a palindrome (34044043).

The spelling of 34040000 in words is "thirty-four million, forty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 32 37 40 46 50 64 74 80 92 100 115 125 148 160 184 185 200 230 250 296 320 368 370 400 460 500 575 592 625 736 740 800 851 920 925 1000 1150 1184 1250 1472 1480 1600 1702 1840 1850 2000 2300 2368 2500 2875 2960 3404 3680 3700 4000 4255 4600 4625 5000 5750 5920 6808 7360 7400 8000 8510 9200 9250 10000 11500 11840 13616 14375 14800 17020 18400 18500 20000 21275 23000 23125 27232 28750 29600 34040 36800 37000 40000 42550 46000 46250 54464 57500 59200 68080 74000 85100 92000 92500 106375 115000 136160 148000 170200 184000 185000 212750 230000 272320 296000 340400 370000 425500 460000 531875 680800 740000 851000 920000 1063750 1361600 1480000 1702000 2127500 3404000 4255000 6808000 8510000 17020000 34040000