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3011214000 = 243531014969
BaseRepresentation
bin1011001101111011…
…0111101010110000
321202212010112001110
42303132313222300
522131332322000
61214444433320
7134422616364
oct26336675260
97685115043
103011214000
11130582a713
12700548840
1338cb0c842
14207cc52a4
1512955b850
hexb37b7ab0

3011214000 has 160 divisors (see below), whose sum is σ = 9806247360. Its totient is φ = 794880000.

The previous prime is 3011213983. The next prime is 3011214023. The reversal of 3011214000 is 4121103.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603516 + ... + 608484.

It is an arithmetic number, because the mean of its divisors is an integer number (61289046).

Almost surely, 23011214000 is an apocalyptic number.

3011214000 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 3011214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903123680).

3011214000 is an abundant number, since it is smaller than the sum of its proper divisors (6795033360).

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

3011214000 is a wasteful number, since it uses less digits than its factorization.

3011214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3011214000 is about 54874.5296107402. The cubic root of 3011214000 is about 1444.0443787948.

Adding to 3011214000 its reverse (4121103), we get a palindrome (3015335103).

The spelling of 3011214000 in words is "three billion, eleven million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 125 150 200 202 240 250 300 303 375 400 404 500 505 600 606 750 808 1000 1010 1200 1212 1500 1515 1616 2000 2020 2424 2525 3000 3030 4040 4848 4969 5050 6000 6060 7575 8080 9938 10100 12120 12625 14907 15150 19876 20200 24240 24845 25250 29814 30300 37875 39752 40400 49690 50500 59628 60600 74535 75750 79504 99380 101000 119256 121200 124225 149070 151500 198760 202000 238512 248450 298140 303000 372675 397520 496900 501869 596280 606000 621125 745350 993800 1003738 1192560 1242250 1490700 1505607 1863375 1987600 2007476 2484500 2509345 2981400 3011214 3726750 4014952 4969000 5018690 5962800 6022428 7453500 7528035 8029904 9938000 10037380 12044856 12546725 14907000 15056070 20074760 24089712 25093450 29814000 30112140 37640175 40149520 50186900 60224280 62733625 75280350 100373800 120448560 125467250 150560700 188200875 200747600 250934500 301121400 376401750 501869000 602242800 752803500 1003738000 1505607000 3011214000