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3143234000 = 24537321529
BaseRepresentation
bin1011101101011001…
…1111000111010000
322010001112211110002
42323112133013100
522414131442000
61235522225132
7140615022344
oct27326370720
98101484402
103143234000
111373301255
127387b51a8
133b128489a
1421b64d624
15135e388d5
hexbb59f1d0

3143234000 has 80 divisors (see below), whose sum is σ = 7704811920. Its totient is φ = 1240012800.

The previous prime is 3143233999. The next prime is 3143234051. The reversal of 3143234000 is 4323413.

It can be written as a sum of positive squares in 8 ways, for example, as 1477941136 + 1665292864 = 38444^2 + 40808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135236 + ... + 156764.

It is an arithmetic number, because the mean of its divisors is an integer number (96310149).

Almost surely, 23143234000 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 3143234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852405960).

3143234000 is an abundant number, since it is smaller than the sum of its proper divisors (4561577920).

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

3143234000 is a wasteful number, since it uses less digits than its factorization.

3143234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21625 (or 21609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3143234000 is about 56064.5520806151. The cubic root of 3143234000 is about 1464.8469051464.

Adding to 3143234000 its reverse (4323413), we get a palindrome (3147557413).

The spelling of 3143234000 in words is "three billion, one hundred forty-three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 21529 29200 36500 43058 73000 86116 107645 146000 172232 215290 344464 430580 538225 861160 1076450 1571617 1722320 2152900 2691125 3143234 4305800 5382250 6286468 7858085 8611600 10764500 12572936 15716170 21529000 25145872 31432340 39290425 43058000 62864680 78580850 125729360 157161700 196452125 314323400 392904250 628646800 785808500 1571617000 3143234000