Search a number
-
+
328966416 = 24322284489
BaseRepresentation
bin10011100110111…
…010000100010000
3211221000020002100
4103212322010100
51133203411131
652350520400
711103111522
oct2346720420
9757006070
10328966416
11159769379
1292206100
13532004ac
1431993a12
151dd317e6
hex139ba110

328966416 has 30 divisors (see below), whose sum is σ = 920649470. Its totient is φ = 109655424.

The previous prime is 328966403. The next prime is 328966457. The reversal of 328966416 is 614669823.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 157251600 = 13104^2 + 12540^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1142101 + ... + 1142388.

Almost surely, 2328966416 is an apocalyptic number.

328966416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

328966416 is an abundant number, since it is smaller than the sum of its proper divisors (591683054).

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

328966416 is a wasteful number, since it uses less digits than its factorization.

328966416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284503 (or 2284494 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 328966416 is about 18137.4313506626. The cubic root of 328966416 is about 690.3201035231.

The spelling of 328966416 in words is "three hundred twenty-eight million, nine hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2284489 4568978 6853467 9137956 13706934 18275912 20560401 27413868 36551824 41120802 54827736 82241604 109655472 164483208 328966416