Search a number
-
+
30344418 = 232131031259
BaseRepresentation
bin111001111000…
…0010011100010
32010002122201100
41303300103202
530232010133
63002215230
7515631456
oct163602342
963078640
1030344418
1116146235
12a1b4516
1363959a0
14405c666
1529e5e13
hex1cf04e2

30344418 has 48 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 9238752.

The previous prime is 30344407. The next prime is 30344437. The reversal of 30344418 is 81444303.

It is a junction number, because it is equal to n+sod(n) for n = 30344391 and 30344400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23473 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 230344418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30344418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

30344418 is an abundant number, since it is smaller than the sum of its proper divisors (41203422).

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

30344418 is a wasteful number, since it uses less digits than its factorization.

30344418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30344418 is about 5508.5767671877. The cubic root of 30344418 is about 311.9078253355.

The spelling of 30344418 in words is "thirty million, three hundred forty-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1259 1339 1854 2518 2678 3777 4017 7554 8034 11331 12051 16367 22662 24102 32734 49101 98202 129677 147303 259354 294606 389031 778062 1167093 1685801 2334186 3371602 5057403 10114806 15172209 30344418