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380280132 = 223229432197
BaseRepresentation
bin10110101010101…
…001110101000100
3222111120020021100
4112222221311010
51234322431012
6101422420100
712265220301
oct2652516504
9874506240
10380280132
11185727101
12a7431630
1360a2883b
14387100a8
15235ba8dc
hex16aa9d44

380280132 has 108 divisors (see below), whose sum is σ = 1023242220. Its totient is φ = 118935936.

The previous prime is 380280119. The next prime is 380280133. The reversal of 380280132 is 231082083.

380280132 is a `hidden beast` number, since 380 + 280 + 1 + 3 + 2 = 666.

380280132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 307791936 + 72488196 = 17544^2 + 8514^2 .

It is a super-2 number, since 2×3802801322 = 289225957587874848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380280096 and 380280105.

It is not an unprimeable number, because it can be changed into a prime (380280133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1930258 + ... + 1930454.

It is an arithmetic number, because the mean of its divisors is an integer number (9474465).

Almost surely, 2380280132 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 380280132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511621110).

380280132 is an abundant number, since it is smaller than the sum of its proper divisors (642962088).

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

380280132 is a wasteful number, since it uses less digits than its factorization.

380280132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380280132 is about 19500.7726000792. The cubic root of 380280132 is about 724.4935865818.

The spelling of 380280132 in words is "three hundred eighty million, two hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 197 258 261 348 387 394 516 522 591 774 788 1044 1182 1247 1548 1773 1849 2364 2494 3546 3698 3741 4988 5547 5713 7092 7396 7482 8471 11094 11223 11426 14964 16641 16942 17139 22188 22446 22852 25413 33282 33884 34278 44892 50826 51417 53621 66564 68556 76239 101652 102834 107242 152478 160863 205668 214484 245659 304956 321726 364253 482589 491318 643452 728506 736977 965178 982636 1092759 1457012 1473954 1930356 2185518 2210931 2947908 3278277 4371036 4421862 6556554 8843724 10563337 13113108 21126674 31690011 42253348 63380022 95070033 126760044 190140066 380280132