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3123214040 = 235313676863
BaseRepresentation
bin1011101000101000…
…0111011011011000
322001122212201020002
42322022013123120
522344020322130
61233525152132
7140252611202
oct27212073330
98048781202
103123214040
111362a77a31
12731b5b648
133aa09535b
14218b1b772
151342d1b45
hexba2876d8

3123214040 has 64 divisors (see below), whose sum is σ = 7274741760. Its totient is φ = 1205516160.

The previous prime is 3123214037. The next prime is 3123214043. The reversal of 3123214040 is 404123213.

3123214040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3123214037) and next prime (3123214043).

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 (3123214043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451649 + ... + 458511.

It is an arithmetic number, because the mean of its divisors is an integer number (113667840).

Almost surely, 23123214040 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 3123214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637370880).

3123214040 is an abundant number, since it is smaller than the sum of its proper divisors (4151527720).

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

3123214040 is a wasteful number, since it uses less digits than its factorization.

3123214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3123214040 is about 55885.7230426520. The cubic root of 3123214040 is about 1461.7302998332.

Adding to 3123214040 its reverse (404123213), we get a palindrome (3527337253).

The spelling of 3123214040 in words is "three billion, one hundred twenty-three million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 367 620 734 1240 1468 1835 2936 3670 6863 7340 11377 13726 14680 22754 27452 34315 45508 54904 56885 68630 91016 113770 137260 212753 227540 274520 425506 455080 851012 1063765 1702024 2127530 2518721 4255060 5037442 8510120 10074884 12593605 20149768 25187210 50374420 78080351 100748840 156160702 312321404 390401755 624642808 780803510 1561607020 3123214040