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302343132 = 2237213371069
BaseRepresentation
bin10010000001010…
…110001111011100
3210001220121210210
4102001112033130
51104344440012
650000132420
710330605600
oct2201261734
9701817723
10302343132
11145734963
1285307110
134a83b480
142c223500
151b82323c
hex120563dc

302343132 has 144 divisors (see below), whose sum is σ = 908507040. Its totient is φ = 77511168.

The previous prime is 302343131. The next prime is 302343137. The reversal of 302343132 is 231343203.

302343132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3023431322 = 182822738935138848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 302343099 and 302343108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302343131) 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 47 ways as a sum of consecutive naturals, for example, 282294 + ... + 283362.

Almost surely, 2302343132 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 302343132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454253520).

302343132 is an abundant number, since it is smaller than the sum of its proper divisors (606163908).

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

302343132 is a wasteful number, since it uses less digits than its factorization.

302343132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 302343132 is about 17388.0169082043. The cubic root of 302343132 is about 671.1712874770.

Adding to 302343132 its reverse (231343203), we get a palindrome (533686335).

The spelling of 302343132 in words is "three hundred two million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 364 444 481 518 546 588 637 777 962 1036 1069 1092 1274 1443 1554 1813 1911 1924 2138 2548 2886 3108 3207 3367 3626 3822 4276 5439 5772 6414 6734 7252 7483 7644 10101 10878 12828 13468 13897 14966 20202 21756 22449 23569 27794 29932 39553 40404 41691 44898 47138 52381 55588 70707 79106 83382 89796 94276 97279 104762 118659 141414 157143 158212 166764 194558 209524 237318 276871 282828 291837 314286 389116 474636 514189 553742 583674 628572 680953 830613 1028378 1107484 1167348 1361906 1542567 1661226 1938097 2042859 2056756 2723812 3085134 3322452 3599323 3876194 4085718 5814291 6170268 7198646 7752388 8171436 10797969 11628582 14397292 21595938 23257164 25195261 43191876 50390522 75585783 100781044 151171566 302343132