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3004134000 = 24353771527
BaseRepresentation
bin1011001100001111…
…0111001001110000
321202100210211010020
42303003313021300
522123024242000
61214033003440
7134305501110
oct26303671160
97670724106
103004134000
11130183437a
126ba0b3580
1338b5010aa
14206da1040
15128b0dba0
hexb30f7270

3004134000 has 160 divisors (see below), whose sum is σ = 11069101056. Its totient is φ = 686649600.

The previous prime is 3004133999. The next prime is 3004134043. The reversal of 3004134000 is 4314003.

3004134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6237 + ... + 77763.

Almost surely, 23004134000 is an apocalyptic number.

3004134000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534550528).

3004134000 is an abundant number, since it is smaller than the sum of its proper divisors (8064967056).

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

3004134000 is a wasteful number, since it uses less digits than its factorization.

3004134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71560 (or 71544 counting only the distinct ones).

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

The square root of 3004134000 is about 54809.9808429085. The cubic root of 3004134000 is about 1442.9117395467.

Adding to 3004134000 its reverse (4314003), we get a palindrome (3008448003).

The spelling of 3004134000 in words is "three billion, four million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 71527 143054 214581 286108 357635 429162 500689 572216 715270 858324 1001378 1072905 1144432 1430540 1502067 1716648 1788175 2002756 2145810 2503445 2861080 3004134 3433296 3576350 4005512 4291620 5006890 5364525 5722160 6008268 7152700 7510335 8011024 8583240 8940875 10013780 10729050 12016536 12517225 14305400 15020670 17166480 17881750 20027560 21458100 24033072 25034450 26822625 28610800 30041340 35763500 37551675 40055120 42916200 50068900 53645250 60082680 62586125 71527000 75103350 85832400 100137800 107290500 120165360 125172250 143054000 150206700 187758375 200275600 214581000 250344500 300413400 375516750 429162000 500689000 600826800 751033500 1001378000 1502067000 3004134000