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3000000168 = 23321111233373
BaseRepresentation
bin1011001011010000…
…0101111010101000
321202002000210120100
42302310011322220
522121000001133
61213404225400
7134225403114
oct26264057250
97662023510
103000000168
1112aa470590
126b883b260
1338a6b4639
14206606744
15128593e13
hexb2d05ea8

3000000168 has 96 divisors (see below), whose sum is σ = 8874159840. Its totient is φ = 908012160.

The previous prime is 3000000151. The next prime is 3000000209. The reversal of 3000000168 is 8610000003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3000000168.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887730 + ... + 891102.

It is an arithmetic number, because the mean of its divisors is an integer number (92439165).

Almost surely, 23000000168 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 3000000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437079920).

3000000168 is an abundant number, since it is smaller than the sum of its proper divisors (5874159672).

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

3000000168 is a wasteful number, since it uses less digits than its factorization.

3000000168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3000000168 is about 54772.2572841398. The cubic root of 3000000168 is about 1442.2495972294.

The spelling of 3000000168 in words is "three billion, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1123 2246 3369 3373 4492 6738 6746 8984 10107 10119 12353 13476 13492 20214 20238 24706 26952 26984 30357 37059 37103 40428 40476 49412 60714 74118 74206 80856 80952 98824 111177 111309 121428 148236 148412 222354 222618 242856 296472 296824 333927 444708 445236 667854 889416 890472 1335708 2671416 3787879 7575758 11363637 15151516 22727274 30303032 34090911 41666669 45454548 68181822 83333338 90909096 125000007 136363644 166666676 250000014 272727288 333333352 375000021 500000028 750000042 1000000056 1500000084 3000000168