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2404314066 = 237311106207
BaseRepresentation
bin1000111101001110…
…1110101111010010
320012120010210212010
42033103232233102
514411001022231
61034324443350
7113403222000
oct21723565722
96176123763
102404314066
111024199820
12571249556
132c416945b
1418b463a70
15e1129546
hex8f4eebd2

2404314066 has 64 divisors (see below), whose sum is σ = 6117580800. Its totient is φ = 624491280.

The previous prime is 2404314061. The next prime is 2404314127. The reversal of 2404314066 is 6604134042.

2404314066 = 48792 + 48802 + ... + 49772.

It is a super-2 number, since 2×24043140662 = 11561452255930904712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2404314061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30466 + ... + 75741.

It is an arithmetic number, because the mean of its divisors is an integer number (95587200).

Almost surely, 22404314066 is an apocalyptic number.

2404314066 is an abundant number, since it is smaller than the sum of its proper divisors (3713266734).

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

2404314066 is a wasteful number, since it uses less digits than its factorization.

2404314066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106244 (or 106230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2404314066 is about 49033.8053387660. The cubic root of 2404314066 is about 1339.6676360667.

The spelling of 2404314066 in words is "two billion, four hundred four million, three hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 3234 3773 7546 11319 22638 106207 212414 318621 637242 743449 1168277 1486898 2230347 2336554 3504831 4460694 5204143 7009662 8177939 10408286 15612429 16355878 24533817 31224858 36429001 49067634 57245573 72858002 109287003 114491146 171736719 218574006 343473438 400719011 801438022 1202157033 2404314066