Search a number
-
+
30930432 = 293131549
BaseRepresentation
bin111010111111…
…1011000000000
32011012102120120
41311333120000
530404233212
63022540240
7523622121
oct165773000
964172516
1030930432
1116506545
12a437680
13653c640
144172048
152aae88c
hex1d7f600

30930432 has 80 divisors (see below), whose sum is σ = 88796400. Its totient is φ = 9510912.

The previous prime is 30930397. The next prime is 30930433. The reversal of 30930432 is 23403903.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30930433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19194 + ... + 20742.

It is an arithmetic number, because the mean of its divisors is an integer number (1109955).

Almost surely, 230930432 is an apocalyptic number.

30930432 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 30930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44398200).

30930432 is an abundant number, since it is smaller than the sum of its proper divisors (57865968).

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

30930432 is a wasteful number, since it uses less digits than its factorization.

30930432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30930432 is about 5561.5134630782. The cubic root of 30930432 is about 313.9029004538.

The spelling of 30930432 in words is "thirty million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1549 1664 2496 3098 3328 4647 4992 6196 6656 9294 9984 12392 18588 19968 20137 24784 37176 40274 49568 60411 74352 80548 99136 120822 148704 161096 198272 241644 297408 322192 396544 483288 594816 644384 793088 966576 1189632 1288768 1933152 2379264 2577536 3866304 5155072 7732608 10310144 15465216 30930432