Search a number
-
+
30437288 = 2373189197
BaseRepresentation
bin111010000011…
…0111110101000
32010021101002222
41310012332220
530242443123
63004213212
7516466310
oct164067650
963241088
1030437288
11161a9a92
12a23a208
1363c903b
144084440
152a136c8
hex1d06fa8

30437288 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 12418560.

The previous prime is 30437287. The next prime is 30437311. The reversal of 30437288 is 88273403.

It is a Cunningham number, because it is equal to 55172-1.

It is not an unprimeable number, because it can be changed into a prime (30437287) by changing a digit.

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, 154406 + ... + 154602.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 230437288 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 30437288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

30437288 is an abundant number, since it is smaller than the sum of its proper divisors (37991512).

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

30437288 is a wasteful number, since it uses less digits than its factorization.

30437288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 30437288 is about 5516.9999093710. Note that the first 4 decimals coincide. The cubic root of 30437288 is about 312.2257023450.

The spelling of 30437288 in words is "thirty million, four hundred thirty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 89 124 178 197 217 248 356 394 434 623 712 788 868 1246 1379 1576 1736 2492 2758 2759 4984 5516 5518 6107 11032 11036 12214 17533 19313 22072 24428 35066 38626 42749 48856 70132 77252 85498 122731 140264 154504 170996 245462 341992 490924 543523 981848 1087046 2174092 3804661 4348184 7609322 15218644 30437288