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330442420 = 225711229937
BaseRepresentation
bin10011101100100…
…010011010110100
3212000210012210011
4103230202122310
51134043124140
652442310004
711121466660
oct2354423264
9760705704
10330442420
1115a587310
12927b8304
13535c9279
1431c598a0
151e023cea
hex13b226b4

330442420 has 96 divisors (see below), whose sum is σ = 869863680. Its totient is φ = 102435840.

The previous prime is 330442393. The next prime is 330442451. The reversal of 330442420 is 24244033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330442391 and 330442400.

It is a congruent number.

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, 352192 + ... + 353128.

It is an arithmetic number, because the mean of its divisors is an integer number (9061080).

Almost surely, 2330442420 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 330442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434931840).

330442420 is an abundant number, since it is smaller than the sum of its proper divisors (539421260).

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

330442420 is a wasteful number, since it uses less digits than its factorization.

330442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 330442420 is about 18178.0752556479. The cubic root of 330442420 is about 691.3510042319.

Adding to 330442420 its reverse (24244033), we get a palindrome (354686453).

The spelling of 330442420 in words is "three hundred thirty million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 229 308 385 458 770 916 937 1145 1540 1603 1874 2290 2519 3206 3748 4580 4685 5038 6412 6559 8015 9370 10076 10307 12595 13118 16030 17633 18740 20614 25190 26236 32060 32795 35266 41228 50380 51535 65590 70532 72149 88165 103070 131180 144298 176330 206140 214573 288596 352660 360745 429146 721490 858292 1072865 1442980 1502011 2145730 2360303 3004022 4291460 4720606 6008044 7510055 9441212 11801515 15020110 16522121 23603030 30040220 33044242 47206060 66088484 82610605 165221210 330442420