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4023234000 = 2432531012213
BaseRepresentation
bin1110111111001101…
…1010110111010000
3101101101102110111200
43233303122313100
531214421442000
61503115511200
7201461632122
oct35763326720
911341373450
104023234000
111785013285
12943458500
134c1697b46
142a2481212
15188314500
hexefcdadd0

4023234000 has 240 divisors, whose sum is σ = 14197354704. Its totient is φ = 1061760000.

The previous prime is 4023233989. The next prime is 4023234029. The reversal of 4023234000 is 4323204.

It can be written as a sum of positive squares in 8 ways, for example, as 5702544 + 4017531456 = 2388^2 + 63384^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816894 + ... + 1819106.

Almost surely, 24023234000 is an apocalyptic number.

4023234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098677352).

4023234000 is an abundant number, since it is smaller than the sum of its proper divisors (10174120704).

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

4023234000 is a wasteful number, since it uses less digits than its factorization.

4023234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4023234000 is about 63428.9681454775. The cubic root of 4023234000 is about 1590.4685933444.

Adding to 4023234000 its reverse (4323204), we get a palindrome (4027557204).

The spelling of 4023234000 in words is "four billion, twenty-three million, two hundred thirty-four thousand".