Search a number
-
+
30680352 = 2532307347
BaseRepresentation
bin111010100001…
…0010100100000
32010201201112100
41311002110200
530323232402
63013330400
7521531043
oct165022440
963651470
1030680352
111635566a
12a336a00
136482871
144108c5a
152a6071c
hex1d42520

30680352 has 72 divisors (see below), whose sum is σ = 87783696. Its totient is φ = 10164096.

The previous prime is 30680333. The next prime is 30680357. The reversal of 30680352 is 25308603.

30680352 is a `hidden beast` number, since 306 + 8 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (30680357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88243 + ... + 88589.

It is an arithmetic number, because the mean of its divisors is an integer number (1219218).

Almost surely, 230680352 is an apocalyptic number.

30680352 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 30680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891848).

30680352 is an abundant number, since it is smaller than the sum of its proper divisors (57103344).

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

30680352 is a wasteful number, since it uses less digits than its factorization.

30680352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30680352 is about 5538.9847445177. The cubic root of 30680352 is about 313.0546165924.

Adding to 30680352 its reverse (25308603), we get a palindrome (55988955).

The spelling of 30680352 in words is "thirty million, six hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 347 614 694 921 1041 1228 1388 1842 2082 2456 2763 2776 3123 3684 4164 4912 5526 5552 6246 7368 8328 9824 11052 11104 12492 14736 16656 22104 24984 29472 33312 44208 49968 88416 99936 106529 213058 319587 426116 639174 852232 958761 1278348 1704464 1917522 2556696 3408928 3835044 5113392 7670088 10226784 15340176 30680352