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380813268 = 2231129531877
BaseRepresentation
bin10110101100101…
…011111111010100
3222112120022121010
4112230223333110
51234442011033
6101442052220
712302600523
oct2654537724
9875508533
10380813268
11185a60710
12a764a070
1360b843c4
143880c4ba
1523673863
hex16b2bfd4

380813268 has 96 divisors (see below), whose sum is σ = 1022232960. Its totient is φ = 109258240.

The previous prime is 380813267. The next prime is 380813339. The reversal of 380813268 is 862318083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380813261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201946 + ... + 203822.

It is an arithmetic number, because the mean of its divisors is an integer number (10648260).

Almost surely, 2380813268 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 380813268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511116480).

380813268 is an abundant number, since it is smaller than the sum of its proper divisors (641419692).

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

380813268 is a wasteful number, since it uses less digits than its factorization.

380813268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 380813268 is about 19514.4374246351. The cubic root of 380813268 is about 724.8319978540.

The spelling of 380813268 in words is "three hundred eighty million, eight hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 53 58 66 87 106 116 132 159 174 212 318 319 348 583 636 638 957 1166 1276 1537 1749 1877 1914 2332 3074 3498 3754 3828 4611 5631 6148 6996 7508 9222 11262 16907 18444 20647 22524 33814 41294 50721 54433 61941 67628 82588 99481 101442 108866 123882 163299 198962 202884 217732 247764 298443 326598 397924 596886 598763 653196 1094291 1193772 1197526 1796289 2188582 2395052 2884949 3282873 3592578 4377164 5769898 6565746 7185156 8654847 11539796 13131492 17309694 31734439 34619388 63468878 95203317 126937756 190406634 380813268