Search a number
-
+
330298416 = 24327246811
BaseRepresentation
bin10011101011111…
…111010000110000
3212000111220020200
4103223333100300
51134024022131
652435235200
711120330100
oct2353772060
9760456220
10330298416
1115a4990a8
1292748b00
1353578866
1431c1d200
151dee62e6
hex13aff430

330298416 has 90 divisors (see below), whose sum is σ = 1075318452. Its totient is φ = 94368960.

The previous prime is 330298411. The next prime is 330298427. The reversal of 330298416 is 614892033.

It is a super-2 number, since 2×3302984162 = 218194087224218112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (330298411) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16350 + ... + 30461.

Almost surely, 2330298416 is an apocalyptic number.

330298416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

330298416 is an abundant number, since it is smaller than the sum of its proper divisors (745020036).

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

330298416 is a wasteful number, since it uses less digits than its factorization.

330298416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46839 (or 46823 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 330298416 is about 18174.1138986197. The cubic root of 330298416 is about 691.2505613412.

The spelling of 330298416 in words is "three hundred thirty million, two hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 46811 93622 140433 187244 280866 327677 374488 421299 561732 655354 748976 842598 983031 1123464 1310708 1685196 1966062 2246928 2293739 2621416 2949093 3370392 3932124 4587478 5242832 5898186 6740784 6881217 7864248 9174956 11796372 13762434 15728496 18349912 20643651 23592744 27524868 36699824 41287302 47185488 55049736 82574604 110099472 165149208 330298416