Search a number
-
+
30394416 = 2431367727
BaseRepresentation
bin111001111110…
…0100000110000
32010012012022010
41303330200300
530240110131
63003242520
7516230313
oct163744060
963165263
1030394416
111617a858
12a219440
1363b2680
14407297a
152a05b46
hex1cfc830

30394416 has 80 divisors (see below), whose sum is σ = 85938944. Its totient is φ = 9199872.

The previous prime is 30394391. The next prime is 30394417. The reversal of 30394416 is 61449303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30394417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41445 + ... + 42171.

Almost surely, 230394416 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 30394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42969472).

30394416 is an abundant number, since it is smaller than the sum of its proper divisors (55544528).

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

30394416 is a wasteful number, since it uses less digits than its factorization.

30394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30394416 is about 5513.1130951578. The cubic root of 30394416 is about 312.0790398040.

The spelling of 30394416 in words is "thirty million, three hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 727 804 871 1072 1454 1608 1742 2181 2613 2908 3216 3484 4362 5226 5816 6968 8724 9451 10452 11632 13936 17448 18902 20904 28353 34896 37804 41808 48709 56706 75608 97418 113412 146127 151216 194836 226824 292254 389672 453648 584508 633217 779344 1169016 1266434 1899651 2338032 2532868 3799302 5065736 7598604 10131472 15197208 30394416