Search a number
-
+
3405334000 = 245323181409
BaseRepresentation
bin1100101011111001…
…0100010111110000
322210022201220001111
43022332110113300
523433231142000
61321524043104
7150246601315
oct31276242760
98708656044
103405334000
111498249922
127b0533494
13423672943
14244398d0c
1514de5ccba
hexcaf945f0

3405334000 has 160 divisors (see below), whose sum is σ = 8660695680. Its totient is φ = 1292544000.

The previous prime is 3405333991. The next prime is 3405334013. The reversal of 3405334000 is 4335043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8325796 + ... + 8326204.

It is an arithmetic number, because the mean of its divisors is an integer number (54129348).

Almost surely, 23405334000 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 3405334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330347840).

3405334000 is an abundant number, since it is smaller than the sum of its proper divisors (5255361680).

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

3405334000 is a wasteful number, since it uses less digits than its factorization.

3405334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3405334000 is about 58355.2396961918. The cubic root of 3405334000 is about 1504.4805291726.

Adding to 3405334000 its reverse (4335043), we get a palindrome (3409669043).

The spelling of 3405334000 in words is "three billion, four hundred five million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 181 184 200 230 250 362 368 400 409 460 500 575 724 818 905 920 1000 1150 1448 1636 1810 1840 2000 2045 2300 2875 2896 3272 3620 4090 4163 4525 4600 5750 6544 7240 8180 8326 9050 9200 9407 10225 11500 14480 16360 16652 18100 18814 20450 20815 22625 23000 32720 33304 36200 37628 40900 41630 45250 46000 47035 51125 66608 72400 74029 75256 81800 83260 90500 94070 102250 104075 148058 150512 163600 166520 181000 188140 204500 208150 235175 296116 333040 362000 370145 376280 409000 416300 470350 520375 592232 740290 752560 818000 832600 940700 1040750 1175875 1184464 1480580 1665200 1702667 1850725 1881400 2081500 2351750 2961160 3405334 3701450 3762800 4163000 4703500 5922320 6810668 7402900 8326000 8513335 9253625 9407000 13621336 14805800 17026670 18507250 18814000 27242672 29611600 34053340 37014500 42566675 68106680 74029000 85133350 136213360 148058000 170266700 212833375 340533400 425666750 681066800 851333500 1702667000 3405334000