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30983392 = 2511234389
BaseRepresentation
bin111011000110…
…0010011100000
32011022010020001
41312030103200
530412432032
63024025344
7524232406
oct166142340
964263201
1030983392
1116542310
12a462254
13655a78b
144187476
152ac03e7
hex1d8c4e0

30983392 has 96 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 13009920.

The previous prime is 30983383. The next prime is 30983419. The reversal of 30983392 is 29338903.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 348084 + ... + 348172.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 230983392 is an apocalyptic number.

30983392 is a gapful number since it is divisible by the number (32) 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 30983392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

30983392 is an abundant number, since it is smaller than the sum of its proper divisors (40866848).

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

30983392 is a wasteful number, since it uses less digits than its factorization.

30983392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 30983392 is about 5566.2727205914. The cubic root of 30983392 is about 314.0819562396.

It can be divided in two parts, 30983 and 392, that added together give a triangular number (31375 = T250).

The spelling of 30983392 in words is "thirty million, nine hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 86 88 89 92 172 176 178 184 253 344 352 356 368 473 506 688 712 736 946 979 989 1012 1376 1424 1892 1958 1978 2024 2047 2848 3784 3827 3916 3956 4048 4094 7568 7654 7832 7912 8096 8188 10879 15136 15308 15664 15824 16376 21758 22517 30616 31328 31648 32752 42097 43516 45034 61232 65504 84194 87032 88021 90068 122464 168388 174064 176042 180136 336776 348128 352084 360272 673552 704168 720544 968231 1347104 1408336 1936462 2816672 3872924 7745848 15491696 30983392