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30670848 = 2183213
BaseRepresentation
bin111010100000…
…0000000000000
32010201020111100
41311000000000
530322431343
63013214400
7521461245
oct165000000
963636440
1030670848
111634950a
12a331400
13647b440
1441055cc
152a5c9d3
hex1d40000

30670848 has 114 divisors (see below), whose sum is σ = 95420234. Its totient is φ = 9437184.

The previous prime is 30670847. The next prime is 30670859. The reversal of 30670848 is 84807603.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 9437184 = 4608^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30670841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359290 + ... + 2359302.

Almost surely, 230670848 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 30670848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47710117).

30670848 is an abundant number, since it is smaller than the sum of its proper divisors (64749386).

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

30670848 is an frugal number, since it uses more digits than its factorization.

30670848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30670848 is about 5538.1267591127. The cubic root of 30670848 is about 313.0222877766.

The spelling of 30670848 in words is "thirty million, six hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 8192 9216 9984 12288 13312 14976 16384 18432 19968 24576 26624 29952 32768 36864 39936 49152 53248 59904 65536 73728 79872 98304 106496 119808 131072 147456 159744 196608 212992 239616 262144 294912 319488 393216 425984 479232 589824 638976 786432 851968 958464 1179648 1277952 1703936 1916928 2359296 2555904 3407872 3833856 5111808 7667712 10223616 15335424 30670848