Search a number
-
+
380394468 = 22343313547
BaseRepresentation
bin10110101011000…
…101101111100100
3222111210001010000
4112223011233210
51234340110333
6101425101300
712266204526
oct2653055744
9874701100
10380394468
111857a4aa3
12a7487830
1360a688ac
143873da16
15235de713
hex16ac5be4

380394468 has 60 divisors (see below), whose sum is σ = 997711792. Its totient is φ = 126379440.

The previous prime is 380394463. The next prime is 380394473. The reversal of 380394468 is 864493083.

It is an interprime number because it is at equal distance from previous prime (380394463) and next prime (380394473).

It is not an unprimeable number, because it can be changed into a prime (380394463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105471 + ... + 109017.

Almost surely, 2380394468 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 380394468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498855896).

380394468 is an abundant number, since it is smaller than the sum of its proper divisors (617317324).

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

380394468 is a wasteful number, since it uses less digits than its factorization.

380394468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 380394468 is about 19503.7039559157. The cubic root of 380394468 is about 724.5661886728.

The spelling of 380394468 in words is "three hundred eighty million, three hundred ninety-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 331 662 993 1324 1986 2979 3547 3972 5958 7094 8937 10641 11916 14188 17874 21282 26811 31923 35748 42564 53622 63846 95769 107244 127692 191538 287307 383076 574614 1149228 1174057 2348114 3522171 4696228 7044342 10566513 14088684 21133026 31699539 42266052 63399078 95098617 126798156 190197234 380394468