Search a number
-
+
30840192 = 2732191409
BaseRepresentation
bin111010110100…
…1010110000000
32011000211210100
41311221112000
530343341232
63021002400
7523065045
oct165512600
964024710
1030840192
1116454769
12a3b3400
13650a546
14414b1cc
152a92c7c
hex1d69580

30840192 has 96 divisors (see below), whose sum is σ = 93483000. Its totient is φ = 9732096.

The previous prime is 30840163. The next prime is 30840221. The reversal of 30840192 is 29104803.

It is an interprime number because it is at equal distance from previous prime (30840163) and next prime (30840221).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×308401922 = 1902234885193728, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21184 + ... + 22592.

Almost surely, 230840192 is an apocalyptic number.

30840192 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 30840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46741500).

30840192 is an abundant number, since it is smaller than the sum of its proper divisors (62642808).

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

30840192 is a wasteful number, since it uses less digits than its factorization.

30840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30840192 is about 5553.3946375168. The cubic root of 30840192 is about 313.5973309505.

Adding to 30840192 its reverse (29104803), we get a palindrome (59944995).

The spelling of 30840192 in words is "thirty million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1409 1824 2432 2736 2818 3648 4227 5472 5636 7296 8454 10944 11272 12681 16908 21888 22544 25362 26771 33816 45088 50724 53542 67632 80313 90176 101448 107084 135264 160626 180352 202896 214168 240939 270528 321252 405792 428336 481878 541056 642504 811584 856672 963756 1285008 1623168 1713344 1927512 2570016 3426688 3855024 5140032 7710048 10280064 15420096 30840192