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330041004 = 223311575651
BaseRepresentation
bin10011101011000…
…000011010101100
3212000000211010220
4103223000122230
51133442303004
652425531340
711115205446
oct2353003254
9760024126
10330041004
1115a332767
1292643b50
13534b8647
1431b93496
151de94dd9
hex13ac06ac

330041004 has 48 divisors (see below), whose sum is σ = 800142336. Its totient is φ = 105768000.

The previous prime is 330040993. The next prime is 330041029. The reversal of 330041004 is 400140033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55579 + ... + 61229.

It is an arithmetic number, because the mean of its divisors is an integer number (16669632).

Almost surely, 2330041004 is an apocalyptic number.

It is an amenable number.

330041004 is an abundant number, since it is smaller than the sum of its proper divisors (470101332).

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

330041004 is a wasteful number, since it uses less digits than its factorization.

330041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330041004 is about 18167.0306874844. The cubic root of 330041004 is about 691.0709435323.

Adding to 330041004 its reverse (400140033), we get a palindrome (730181037).

The spelling of 330041004 in words is "three hundred thirty million, forty-one thousand, four".

Divisors: 1 2 3 4 6 12 31 62 93 124 157 186 314 372 471 628 942 1884 4867 5651 9734 11302 14601 16953 19468 22604 29202 33906 58404 67812 175181 350362 525543 700724 887207 1051086 1774414 2102172 2661621 3548828 5323242 10646484 27503417 55006834 82510251 110013668 165020502 330041004