Search a number
-
+
380473416 = 23333156821
BaseRepresentation
bin10110101011011…
…001000001001000
3222111221001102000
4112223121001020
51234400122131
6101430511000
712266653641
oct2653310110
9874831360
10380473416
11185849344
12a7505460
1360a957cb
14387606c8
1523607ce6
hex16ad9048

380473416 has 64 divisors (see below), whose sum is σ = 1090982400. Its totient is φ = 122731200.

The previous prime is 380473397. The next prime is 380473433. The reversal of 380473416 is 614374083.

380473416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21715 + ... + 35106.

It is an arithmetic number, because the mean of its divisors is an integer number (17046600).

Almost surely, 2380473416 is an apocalyptic number.

380473416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380473416 is an abundant number, since it is smaller than the sum of its proper divisors (710508984).

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

380473416 is a wasteful number, since it uses less digits than its factorization.

380473416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56867 (or 56857 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 380473416 is about 19505.7277741693. The cubic root of 380473416 is about 724.6163112862.

The spelling of 380473416 in words is "three hundred eighty million, four hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 56821 113642 170463 227284 340926 454568 511389 681852 1022778 1363704 1534167 1761451 2045556 3068334 3522902 4091112 5284353 6136668 7045804 10568706 12273336 14091608 15853059 21137412 31706118 42274824 47559177 63412236 95118354 126824472 190236708 380473416