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3004119666 = 2323116333029
BaseRepresentation
bin1011001100001111…
…0011101001110010
321202100210002110100
42303003303221302
522123023312131
61214032413230
7134305411242
oct26303635162
97670702410
103004119666
111301824629
126ba0a7216
1338b4c7702
14206d99b22
15128b097e6
hexb30f3a72

3004119666 has 48 divisors (see below), whose sum is σ = 6760316160. Its totient is φ = 963096480.

The previous prime is 3004119619. The next prime is 3004119683. The reversal of 3004119666 is 6669114003.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3004119666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74440 + ... + 107468.

It is an arithmetic number, because the mean of its divisors is an integer number (140839920).

Almost surely, 23004119666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004119666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380158080).

3004119666 is an abundant number, since it is smaller than the sum of its proper divisors (3756196494).

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

3004119666 is a wasteful number, since it uses less digits than its factorization.

3004119666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33231 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3004119666 is about 54809.8500818968. The cubic root of 3004119666 is about 1442.9094446280.

The spelling of 3004119666 in words is "three billion, four million, one hundred nineteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 93 163 186 279 326 489 558 978 1467 2934 5053 10106 15159 30318 33029 45477 66058 90954 99087 198174 297261 594522 1023899 2047798 3071697 5383727 6143394 9215091 10767454 16151181 18430182 32302362 48453543 96907086 166895537 333791074 500686611 1001373222 1502059833 3004119666