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3144213000 = 233253349357
BaseRepresentation
bin1011101101101000…
…1110001000001000
322010010101120101100
42323122032020020
522414404304000
61235555221400
7140626240515
oct27332161010
98103346340
103144213000
11137390a845
12738ba7860
133b1538386
1421b82630c
1513607da00
hexbb68e208

3144213000 has 96 divisors (see below), whose sum is σ = 10627470360. Its totient is φ = 838454400.

The previous prime is 3144212989. The next prime is 3144213011. The reversal of 3144213000 is 3124413.

It is an interprime number because it is at equal distance from previous prime (3144212989) and next prime (3144213011).

It can be written as a sum of positive squares in 4 ways, for example, as 1380716964 + 1763496036 = 37158^2 + 41994^2 .

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

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, 165679 + ... + 183678.

Almost surely, 23144213000 is an apocalyptic number.

3144213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144213000 is an abundant number, since it is smaller than the sum of its proper divisors (7483257360).

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

3144213000 is a wasteful number, since it uses less digits than its factorization.

3144213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349384 (or 349367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3144213000 is about 56073.2824079347. The cubic root of 3144213000 is about 1464.9989710609.

Adding to 3144213000 its reverse (3124413), we get a palindrome (3147337413).

The spelling of 3144213000 in words is "three billion, one hundred forty-four million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 349357 698714 1048071 1397428 1746785 2096142 2794856 3144213 3493570 4192284 5240355 6288426 6987140 8384568 8733925 10480710 12576852 13974280 15721065 17467850 20961420 25153704 26201775 31442130 34935700 41922840 43669625 52403550 62884260 69871400 78605325 87339250 104807100 125768520 131008875 157210650 174678500 209614200 262017750 314421300 349357000 393026625 524035500 628842600 786053250 1048071000 1572106500 3144213000