Search a number
-
+
30398112 = 2533151233
BaseRepresentation
bin111001111110…
…1011010100000
32010012101101000
41303331122200
530240214422
63003312000
7516244143
oct163753240
963171330
1030398112
1116182608
12a21b600
1363b4264
14407405a
152a06cac
hex1cfd6a0

30398112 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 10022400.

The previous prime is 30398099. The next prime is 30398113. The reversal of 30398112 is 21189303.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30398113) 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, 130348 + ... + 130580.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 230398112 is an apocalyptic number.

30398112 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 30398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

30398112 is an abundant number, since it is smaller than the sum of its proper divisors (59233248).

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

30398112 is a wasteful number, since it uses less digits than its factorization.

30398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30398112 is about 5513.4482857827. The cubic root of 30398112 is about 312.0916890286.

The spelling of 30398112 in words is "thirty million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 233 288 302 432 453 466 604 699 864 906 932 1208 1359 1398 1812 1864 2097 2416 2718 2796 3624 3728 4077 4194 4832 5436 5592 6291 7248 7456 8154 8388 10872 11184 12582 14496 16308 16776 21744 22368 25164 32616 33552 35183 43488 50328 65232 67104 70366 100656 105549 130464 140732 201312 211098 281464 316647 422196 562928 633294 844392 949941 1125856 1266588 1688784 1899882 2533176 3377568 3799764 5066352 7599528 10132704 15199056 30398112