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380544164 = 2271113101941
BaseRepresentation
bin10110101011101…
…010010010100100
3222112001122110022
4112223222102210
51234404403124
6101432214312
712300400130
oct2653522244
9875048408
10380544164
11185897510
12a753a398
1360abba80
143877c3c0
152361dc5e
hex16aea4a4

380544164 has 96 divisors (see below), whose sum is σ = 903958272. Its totient is φ = 135360000.

The previous prime is 380544161. The next prime is 380544181. The reversal of 380544164 is 461445083.

It is not an unprimeable number, because it can be changed into a prime (380544161) 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, 403934 + ... + 404874.

It is an arithmetic number, because the mean of its divisors is an integer number (9416232).

Almost surely, 2380544164 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 380544164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451979136).

380544164 is an abundant number, since it is smaller than the sum of its proper divisors (523414108).

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

380544164 is a wasteful number, since it uses less digits than its factorization.

380544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 380544164 is about 19507.5412084660. The cubic root of 380544164 is about 724.6612219821.

The spelling of 380544164 in words is "three hundred eighty million, five hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 941 1001 1111 1313 1414 1882 2002 2222 2626 2828 3764 4004 4444 5252 6587 7777 9191 10351 12233 13174 14443 15554 18382 20702 24466 26348 28886 31108 36764 41404 48932 57772 72457 85631 95041 101101 134563 144914 171262 190082 202202 269126 289828 342524 380164 404404 538252 665287 941941 1045451 1235533 1330574 1883882 2090902 2471066 2661148 3767764 4181804 4942132 7318157 8648731 13590863 14636314 17297462 27181726 29272628 34594924 54363452 95136041 190272082 380544164