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30393468 = 223671489
BaseRepresentation
bin111001111110…
…0010001111100
32010012011000000
41303330101330
530240042333
63003234300
7516224460
oct163742174
963164000
1030393468
111617a076
12a218990
1363b2101
1440724a0
152a05713
hex1cfc47c

30393468 has 84 divisors (see below), whose sum is σ = 91199920. Its totient is φ = 8678016.

The previous prime is 30393449. The next prime is 30393481. The reversal of 30393468 is 86439303.

30393468 is a `hidden beast` number, since 303 + 9 + 346 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 27 ways as a sum of consecutive naturals, for example, 19668 + ... + 21156.

Almost surely, 230393468 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 30393468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45599960).

30393468 is an abundant number, since it is smaller than the sum of its proper divisors (60806452).

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

30393468 is a wasteful number, since it uses less digits than its factorization.

30393468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30393468 is about 5513.0271176551. The cubic root of 30393468 is about 312.0757951948.

The spelling of 30393468 in words is "thirty million, three hundred ninety-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1489 1701 2268 2916 2978 3402 4467 5103 5956 6804 8934 10206 10423 13401 17868 20412 20846 26802 31269 40203 41692 53604 62538 80406 93807 120609 125076 160812 187614 241218 281421 361827 375228 482436 562842 723654 844263 1085481 1125684 1447308 1688526 2170962 2532789 3377052 4341924 5065578 7598367 10131156 15196734 30393468