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3107234000 = 245313229317
BaseRepresentation
bin1011100100110100…
…1010000011010000
322000112210211201202
42321031022003100
522330422442000
61232154450332
7140000024153
oct27115120320
98015724652
103107234000
111354a52992
127287339a8
133a698b900
1421695bc9a
15132bc6dd5
hexb934a0d0

3107234000 has 240 divisors, whose sum is σ = 8442785520. Its totient is φ = 1104230400.

The previous prime is 3107233979. The next prime is 3107234003. The reversal of 3107234000 is 4327013.

It can be written as a sum of positive squares in 24 ways, for example, as 2465321104 + 641912896 = 49652^2 + 25336^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107234003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9801842 + ... + 9802158.

It is an arithmetic number, because the mean of its divisors is an integer number (35178273).

Almost surely, 23107234000 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 3107234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221392760).

3107234000 is an abundant number, since it is smaller than the sum of its proper divisors (5335551520).

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

3107234000 is a wasteful number, since it uses less digits than its factorization.

3107234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3107234000 is about 55742.5690114835. The cubic root of 3107234000 is about 1459.2330368413.

The spelling of 3107234000 in words is "three billion, one hundred seven million, two hundred thirty-four thousand".