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3123432312 = 23371113273137
BaseRepresentation
bin1011101000101011…
…1100101101111000
322001200021210122020
42322022330231320
522344044313222
61233533554440
7140254510440
oct27212745570
98050253566
103123432312
111363106a20
12732045a20
133aa140800
14218b77120
1513432665c
hexba2bcb78

3123432312 has 384 divisors, whose sum is σ = 10764264960. Its totient is φ = 733224960.

The previous prime is 3123432307. The next prime is 3123432341. The reversal of 3123432312 is 2132343213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22798708 + ... + 22798844.

It is an arithmetic number, because the mean of its divisors is an integer number (28031940).

Almost surely, 23123432312 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 3123432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382132480).

3123432312 is an abundant number, since it is smaller than the sum of its proper divisors (7640832648).

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

3123432312 is a wasteful number, since it uses less digits than its factorization.

3123432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3123432312 is about 55887.6758507634. The cubic root of 3123432312 is about 1461.7643510125.

Adding to 3123432312 its reverse (2132343213), we get a palindrome (5255775525).

It can be divided in two parts, 31234 and 32312, that added together give a triangular number (63546 = T356).

The spelling of 3123432312 in words is "three billion, one hundred twenty-three million, four hundred thirty-two thousand, three hundred twelve".