Search a number
-
+
38302420284 = 223210125141969
BaseRepresentation
bin100011101011000000…
…001000110100111100
310122212100202112220200
4203223000020310330
51111420404422114
625332413443500
72524112125542
oct435300106474
9118770675820
1038302420284
11152757992a7
12750b4a0590
1337c547281b
141bd4d55d92
15ee2960409
hex8eb008d3c

38302420284 has 72 divisors (see below), whose sum is σ = 98170516080. Its totient is φ = 12590400000.

The previous prime is 38302420279. The next prime is 38302420291. The reversal of 38302420284 is 48202420383.

It is a happy number.

38302420284 is a `hidden beast` number, since 38 + 302 + 42 + 0 + 284 = 666.

It is a super-2 number, since 2×383024202842 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891652 + ... + 933620.

It is an arithmetic number, because the mean of its divisors is an integer number (1363479390).

Almost surely, 238302420284 is an apocalyptic number.

It is an amenable number.

38302420284 is an abundant number, since it is smaller than the sum of its proper divisors (59868095796).

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

38302420284 is a wasteful number, since it uses less digits than its factorization.

38302420284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42331 (or 42326 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Subtracting 38302420284 from its reverse (48202420383), we obtain a palindrome (9900000099).

The spelling of 38302420284 in words is "thirty-eight billion, three hundred two million, four hundred twenty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 251 303 404 502 606 753 909 1004 1212 1506 1818 2259 3012 3636 4518 9036 25351 41969 50702 76053 83938 101404 125907 152106 167876 228159 251814 304212 377721 456318 503628 755442 912636 1510884 4238869 8477738 10534219 12716607 16955476 21068438 25433214 31602657 38149821 42136876 50866428 63205314 76299642 94807971 126410628 152599284 189615942 379231884 1063956119 2127912238 3191868357 4255824476 6383736714 9575605071 12767473428 19151210142 38302420284