Search a number
-
+
30973184 = 281117647
BaseRepresentation
bin111011000100…
…1110100000000
32011021121012222
41312021310000
530412120214
63023510212
7524160554
oct166116400
964247188
1030973184
1116535680
12a458368
136555c38
144183864
152abc38e
hex1d89d00

30973184 has 72 divisors (see below), whose sum is σ = 71523648. Its totient is φ = 13230080.

The previous prime is 30973169. The next prime is 30973223. The reversal of 30973184 is 48137903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47549 + ... + 48195.

It is an arithmetic number, because the mean of its divisors is an integer number (993384).

Almost surely, 230973184 is an apocalyptic number.

30973184 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30973184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761824).

30973184 is an abundant number, since it is smaller than the sum of its proper divisors (40550464).

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

30973184 is a wasteful number, since it uses less digits than its factorization.

30973184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 30973184 is about 5565.3556939337. The cubic root of 30973184 is about 314.0474592551.

The spelling of 30973184 in words is "thirty million, nine hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 647 704 748 1088 1294 1408 1496 2176 2588 2816 2992 4352 5176 5984 7117 10352 10999 11968 14234 20704 21998 23936 28468 41408 43996 47872 56936 82816 87992 113872 120989 165632 175984 227744 241978 351968 455488 483956 703936 910976 967912 1407872 1821952 1935824 2815744 3871648 7743296 15486592 30973184