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30339792 = 2433779127
BaseRepresentation
bin111001110111…
…1001011010000
32010002102101000
41303233023100
530231333132
63002142000
7515612130
oct163571320
963072330
1030339792
111614280a
12a1b1900
136393852
14405aac0
1529e487c
hex1cef2d0

30339792 has 160 divisors (see below), whose sum is σ = 101580800. Its totient is φ = 8491392.

The previous prime is 30339787. The next prime is 30339809. The reversal of 30339792 is 29793303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238833 + ... + 238959.

It is an arithmetic number, because the mean of its divisors is an integer number (634880).

Almost surely, 230339792 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 30339792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50790400).

30339792 is an abundant number, since it is smaller than the sum of its proper divisors (71241008).

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

30339792 is a wasteful number, since it uses less digits than its factorization.

30339792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 30339792 is about 5508.1568605115. The cubic root of 30339792 is about 311.8919744363.

The spelling of 30339792 in words is "thirty million, three hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 79 84 108 112 126 127 144 158 168 189 216 237 252 254 316 336 378 381 432 474 504 508 553 632 711 756 762 889 948 1008 1016 1106 1143 1264 1422 1512 1524 1659 1778 1896 2032 2133 2212 2286 2667 2844 3024 3048 3318 3429 3556 3792 4266 4424 4572 4977 5334 5688 6096 6636 6858 7112 8001 8532 8848 9144 9954 10033 10668 11376 13272 13716 14224 14931 16002 17064 18288 19908 20066 21336 24003 26544 27432 29862 30099 32004 34128 39816 40132 42672 48006 54864 59724 60198 64008 70231 79632 80264 90297 96012 119448 120396 128016 140462 160528 180594 192024 210693 238896 240792 270891 280924 361188 384048 421386 481584 541782 561848 632079 722376 842772 1083564 1123696 1264158 1444752 1685544 1896237 2167128 2528316 3371088 3792474 4334256 5056632 7584948 10113264 15169896 30339792