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330046380 = 22335976301
BaseRepresentation
bin10011101011000…
…001101110101100
3212000001002112000
4103223001232230
51133442441010
652430012300
711115230226
oct2353015654
9760032460
10330046380
1115a336804
1292647090
13534bac21
1431b95416
151de967c0
hex13ac1bac

330046380 has 96 divisors (see below), whose sum is σ = 1037561280. Its totient is φ = 87091200.

The previous prime is 330046373. The next prime is 330046399. The reversal of 330046380 is 83640033.

It is a super-2 number, since 2×3300463802 = 217861225902208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49230 + ... + 55530.

It is an arithmetic number, because the mean of its divisors is an integer number (10807930).

Almost surely, 2330046380 is an apocalyptic number.

330046380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330046380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518780640).

330046380 is an abundant number, since it is smaller than the sum of its proper divisors (707514900).

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

330046380 is a wasteful number, since it uses less digits than its factorization.

330046380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330046380 is about 18167.1786472198. The cubic root of 330046380 is about 691.0746957703.

The spelling of 330046380 in words is "three hundred thirty million, forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 6301 8730 10476 12602 13095 17460 18903 25204 26190 31505 37806 52380 56709 63010 75612 94515 113418 126020 170127 189030 226836 283545 340254 378060 567090 611197 680508 850635 1134180 1222394 1701270 1833591 2444788 3055985 3402540 3667182 5500773 6111970 7334364 9167955 11001546 12223940 16502319 18335910 22003092 27503865 33004638 36671820 55007730 66009276 82511595 110015460 165023190 330046380