Search a number
-
+
383230656 = 2633463479
BaseRepresentation
bin10110110101111…
…010001011000000
3222201010010122000
4112311322023000
51241101340111
6102005544000
712332256354
oct2665721300
9881103560
10383230656
11187361956
12a8415000
136151c803
1438c7b464
152399ec56
hex16d7a2c0

383230656 has 112 divisors (see below), whose sum is σ = 1131417600. Its totient is φ = 127201536.

The previous prime is 383230637. The next prime is 383230657. The reversal of 383230656 is 656032383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 383230656.

It is not an unprimeable number, because it can be changed into a prime (383230657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799825 + ... + 800303.

Almost surely, 2383230656 is an apocalyptic number.

383230656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565708800).

383230656 is an abundant number, since it is smaller than the sum of its proper divisors (748186944).

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

383230656 is a wasteful number, since it uses less digits than its factorization.

383230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 383230656 is about 19576.2778893231. The cubic root of 383230656 is about 726.3624991152.

The spelling of 383230656 in words is "three hundred eighty-three million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 463 479 576 864 926 958 1389 1437 1728 1852 1916 2778 2874 3704 3832 4167 4311 5556 5748 7408 7664 8334 8622 11112 11496 12501 12933 14816 15328 16668 17244 22224 22992 25002 25866 29632 30656 33336 34488 44448 45984 50004 51732 66672 68976 88896 91968 100008 103464 133344 137952 200016 206928 221777 266688 275904 400032 413856 443554 665331 800064 827712 887108 1330662 1774216 1995993 2661324 3548432 3991986 5322648 5987979 7096864 7983972 10645296 11975958 14193728 15967944 21290592 23951916 31935888 42581184 47903832 63871776 95807664 127743552 191615328 383230656