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3004113000 = 233537143053
BaseRepresentation
bin1011001100001111…
…0010000001101000
321202100202202022110
42303003302001220
522123023104000
61214032322320
7134305352640
oct26303620150
97670682273
103004113000
11130181a619
126ba0a33a0
1338b4c4675
14206d97520
15128b07850
hexb30f2068

3004113000 has 128 divisors (see below), whose sum is σ = 10711883520. Its totient is φ = 686649600.

The previous prime is 3004112977. The next prime is 3004113017. The reversal of 3004113000 is 3114003.

It is a super-3 number, since 3×30041130003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 50527 + ... + 92526.

It is an arithmetic number, because the mean of its divisors is an integer number (83686590).

Almost surely, 23004113000 is an apocalyptic number.

3004113000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004113000 is an abundant number, since it is smaller than the sum of its proper divisors (7707770520).

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

3004113000 is a wasteful number, since it uses less digits than its factorization.

3004113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143084 (or 143070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3004113000 is about 54809.7892716256. The cubic root of 3004113000 is about 1442.9083773779.

Adding to 3004113000 its reverse (3114003), we get a palindrome (3007227003).

The spelling of 3004113000 in words is "three billion, four million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 143053 286106 429159 572212 715265 858318 1001371 1144424 1430530 1716636 2002742 2145795 2861060 3004113 3433272 3576325 4005484 4291590 5006855 5722120 6008226 7152650 8010968 8583180 10013710 10728975 12016452 14305300 15020565 17166360 17881625 20027420 21457950 24032904 25034275 28610600 30041130 35763250 40054840 42915900 50068550 53644875 60082260 71526500 75102825 85831800 100137100 107289750 120164520 125171375 143053000 150205650 200274200 214579500 250342750 300411300 375514125 429159000 500685500 600822600 751028250 1001371000 1502056500 3004113000