Search a number
-
+
379430016 = 2737141157
BaseRepresentation
bin10110100111011…
…010010010000000
3222102222001010120
4112213122102000
51234113230031
6101352300240
712255046650
oct2647322200
9872861116
10379430016
111851a6429
12a70a1680
13607bb904
143856c360
152349da96
hex169da480

379430016 has 64 divisors (see below), whose sum is σ = 1151849280. Its totient is φ = 108407808.

The previous prime is 379429991. The next prime is 379430027. The reversal of 379430016 is 610034973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3794300163 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67891 + ... + 73266.

It is an arithmetic number, because the mean of its divisors is an integer number (17997645).

Almost surely, 2379430016 is an apocalyptic number.

It is an amenable number.

379430016 is an abundant number, since it is smaller than the sum of its proper divisors (772419264).

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

379430016 is a wasteful number, since it uses less digits than its factorization.

379430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141181 (or 141169 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 379430016 is about 19478.9634221126. The cubic root of 379430016 is about 723.9533154681.

Adding to 379430016 its reverse (610034973), we get a palindrome (989464989).

The spelling of 379430016 in words is "three hundred seventy-nine million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 141157 282314 423471 564628 846942 988099 1129256 1693884 1976198 2258512 2964297 3387768 3952396 4517024 5928594 6775536 7904792 9034048 11857188 13551072 15809584 18068096 23714376 27102144 31619168 47428752 54204288 63238336 94857504 126476672 189715008 379430016