Search a number
-
+
38345216 = 29713823
BaseRepresentation
bin1001001001000…
…1101000000000
32200011010202012
42102101220000
534304021331
63445512052
7643633430
oct222215000
980133665
1038345216
111a710368
1210a12628
137c375a0
1451422c0
15357682b
hex2491a00

38345216 has 80 divisors (see below), whose sum is σ = 94410624. Its totient is φ = 15151104.

The previous prime is 38345213. The next prime is 38345227. The reversal of 38345216 is 61254383.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38345213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46181 + ... + 47003.

Almost surely, 238345216 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 38345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47205312).

38345216 is an abundant number, since it is smaller than the sum of its proper divisors (56065408).

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

38345216 is an equidigital number, since it uses as much as digits as its factorization.

38345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 38345216 is about 6192.3514112169. The cubic root of 38345216 is about 337.2125501263.

Adding to 38345216 its reverse (61254383), we get a palindrome (99599599).

The spelling of 38345216 in words is "thirty-eight million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 823 832 896 1456 1646 1664 1792 2912 3292 3328 3584 5761 5824 6584 6656 10699 11522 11648 13168 21398 23044 23296 26336 42796 46088 46592 52672 74893 85592 92176 105344 149786 171184 184352 210688 299572 342368 368704 421376 599144 684736 737408 1198288 1369472 1474816 2396576 2738944 2949632 4793152 5477888 9586304 19172608 38345216