Search a number
-
+
383052320 = 25571272693
BaseRepresentation
bin10110110101001…
…110101000100000
3222200210001222222
4112311032220200
51241030133240
6102002050212
712330614420
oct2665165040
9880701888
10383052320
1118724a972
12a8349968
13614895a1
1438c32480
1523966eb5
hex16d4ea20

383052320 has 96 divisors (see below), whose sum is σ = 1042771968. Its totient is φ = 130249728.

The previous prime is 383052301. The next prime is 383052349. The reversal of 383052320 is 23250383.

It is a self number, because there is not a number n which added to its sum of digits gives 383052320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140894 + ... + 143586.

It is an arithmetic number, because the mean of its divisors is an integer number (10862208).

Almost surely, 2383052320 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 383052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521385984).

383052320 is an abundant number, since it is smaller than the sum of its proper divisors (659719648).

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

383052320 is a wasteful number, since it uses less digits than its factorization.

383052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 383052320 is about 19571.7224586902. The cubic root of 383052320 is about 726.2498109477.

The spelling of 383052320 in words is "three hundred eighty-three million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 2693 3556 4064 4445 5080 5386 7112 8890 10160 10772 13465 14224 17780 18851 20320 21544 26930 28448 35560 37702 43088 53860 71120 75404 86176 94255 107720 142240 150808 188510 215440 301616 342011 377020 430880 603232 684022 754040 1368044 1508080 1710055 2394077 2736088 3016160 3420110 4788154 5472176 6840220 9576308 10944352 11970385 13680440 19152616 23940770 27360880 38305232 47881540 54721760 76610464 95763080 191526160 383052320