Search a number
-
+
30159384 = 233192592
BaseRepresentation
bin111001100001…
…1001000011000
32002202020220020
41303003020120
530210100014
62554230440
7514231143
oct163031030
962666806
1030159384
111602a212
12a125420
13632c6b8
14401105a
1529ab1a9
hex1cc3218

30159384 has 72 divisors (see below), whose sum is σ = 80947260. Its totient is φ = 9362592.

The previous prime is 30159379. The next prime is 30159397. The reversal of 30159384 is 48395103.

It is a super-4 number, since 4×301593844 (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 511147 + ... + 511205.

Almost surely, 230159384 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 30159384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473630).

30159384 is an abundant number, since it is smaller than the sum of its proper divisors (50787876).

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

30159384 is a wasteful number, since it uses less digits than its factorization.

30159384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 30159384 is about 5491.7560033199. The cubic root of 30159384 is about 311.2725491317.

It can be divided in two parts, 301 and 59384, that added together give a triangular number (59685 = T345).

The spelling of 30159384 in words is "thirty million, one hundred fifty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 361 456 472 708 722 1083 1121 1416 1444 2166 2242 2888 3363 3481 4332 4484 6726 6962 8664 8968 10443 13452 13924 20886 21299 26904 27848 41772 42598 63897 66139 83544 85196 127794 132278 170392 198417 255588 264556 396834 511176 529112 793668 1256641 1587336 2513282 3769923 5026564 7539846 10053128 15079692 30159384