Search a number
-
+
3034353200 = 2452192317359
BaseRepresentation
bin1011010011011100…
…1000111000110000
321211110200010001212
42310313020320300
522203243300300
61221032415252
7135123401534
oct26467107060
97743603055
103034353200
1113178a451a
12708247528
13394851a88
1420adc9bc4
1512b5cc935
hexb4dc8e30

3034353200 has 120 divisors (see below), whose sum is σ = 8007820800. Its totient is φ = 1099802880.

The previous prime is 3034353197. The next prime is 3034353209. The reversal of 3034353200 is 23534303.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034353209) 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, 166121 + ... + 183479.

It is an arithmetic number, because the mean of its divisors is an integer number (66731840).

Almost surely, 23034353200 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 3034353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003910400).

3034353200 is an abundant number, since it is smaller than the sum of its proper divisors (4973467600).

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

3034353200 is a wasteful number, since it uses less digits than its factorization.

3034353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17408 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 3034353200 is about 55084.9634655411. The cubic root of 3034353200 is about 1447.7337885503.

Adding to 3034353200 its reverse (23534303), we get a palindrome (3057887503).

The spelling of 3034353200 in words is "three billion, thirty-four million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 38 40 46 50 76 80 92 95 100 115 152 184 190 200 230 304 368 380 400 437 460 475 575 760 874 920 950 1150 1520 1748 1840 1900 2185 2300 3496 3800 4370 4600 6992 7600 8740 9200 10925 17359 17480 21850 34718 34960 43700 69436 86795 87400 138872 173590 174800 277744 329821 347180 399257 433975 659642 694360 798514 867950 1319284 1388720 1597028 1649105 1735900 1996285 2638568 3194056 3298210 3471800 3992570 5277136 6388112 6596420 6943600 7585883 7985140 8245525 9981425 13192840 15171766 15970280 16491050 19962850 26385680 30343532 31940560 32982100 37929415 39925700 60687064 65964200 75858830 79851400 121374128 131928400 151717660 159702800 189647075 303435320 379294150 606870640 758588300 1517176600 3034353200