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3306020004 = 223272374
BaseRepresentation
bin1100010100001101…
…1101110010100100
322112101212012212100
43011003131302210
523232320120004
61304015252100
7144632464200
oct30503356244
98471765770
103306020004
111447186841
1278321a030
13408c0c471
14235105b00
15145391739
hexc50ddca4

3306020004 has 135 divisors (see below), whose sum is σ = 9991308327. Its totient is φ = 919048032.

The previous prime is 3306019999. The next prime is 3306020027. The reversal of 3306020004 is 4000206033.

The square root of 3306020004 is 57498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2061341604 + 1244678400 = 45402^2 + 35280^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89351874 + ... + 89351910.

Almost surely, 23306020004 is an apocalyptic number.

3306020004 is the 57498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306020004

3306020004 is an abundant number, since it is smaller than the sum of its proper divisors (6685288323).

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

3306020004 is an frugal number, since it uses more digits than its factorization.

3306020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The cubic root of 3306020004 is about 1489.7103176915.

Adding to 3306020004 its reverse (4000206033), we get a palindrome (7306226037).

The spelling of 3306020004 in words is "three billion, three hundred six million, twenty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1369 1554 1764 1813 2331 2738 3108 3626 4107 4662 5439 5476 7252 8214 9324 9583 10878 12321 16317 16428 19166 21756 24642 28749 32634 38332 49284 50653 57498 65268 67081 86247 101306 114996 134162 151959 172494 201243 202612 268324 303918 344988 354571 402486 455877 603729 607836 709142 804972 911754 1063713 1207458 1418284 1823508 1874161 2127426 2414916 2481997 3191139 3748322 4254852 4963994 5622483 6382278 7445991 7496644 9927988 11244966 12764556 13119127 14891982 16867449 22337973 22489932 26238254 29783964 33734898 39357381 44675946 52476508 67469796 78714762 89351892 91833889 118072143 157429524 183667778 236144286 275501667 367335556 472288572 551003334 826505001 1102006668 1653010002 3306020004