Search a number
-
+
37444104 = 23322979227
BaseRepresentation
bin1000111011010…
…1101000001000
32121110100122200
42032311220020
534041202404
63414320200
7633161325
oct216655010
977410580
1037444104
111a155345
1210659060
1379b0399
144d89b4c
153449839
hex23b5a08

37444104 has 96 divisors (see below), whose sum is σ = 106704000. Its totient is φ = 11846016.

The previous prime is 37444073. The next prime is 37444139. The reversal of 37444104 is 40144473.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164839 + ... + 165065.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 237444104 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 37444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

37444104 is an abundant number, since it is smaller than the sum of its proper divisors (69259896).

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

37444104 is a wasteful number, since it uses less digits than its factorization.

37444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 37444104 is about 6119.1587657128. The cubic root of 37444104 is about 334.5500873471.

Adding to 37444104 its reverse (40144473), we get a palindrome (77588577).

The spelling of 37444104 in words is "thirty-seven million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 79 87 116 158 174 227 232 237 261 316 348 454 474 522 632 681 696 711 908 948 1044 1362 1422 1816 1896 2043 2088 2291 2724 2844 4086 4582 5448 5688 6583 6873 8172 9164 13166 13746 16344 17933 18328 19749 20619 26332 27492 35866 39498 41238 52664 53799 54984 59247 71732 78996 82476 107598 118494 143464 157992 161397 164952 215196 236988 322794 430392 473976 520057 645588 1040114 1291176 1560171 2080228 3120342 4160456 4680513 6240684 9361026 12481368 18722052 37444104