234344004134320 has 160 divisors (see below), whose sum is σ = 565187656228416. Its totient is φ = 90290589696000.

The previous prime is 234344004134281. The next prime is 234344004134327. The reversal of 234344004134320 is 23431400443432.

234344004134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234344004134320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 234344004134320.

It is not an unprimeable number, because it can be changed into a prime (234344004134327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468812520 + ... + 469312120.

Almost surely, 2^{234344004134320} is an apocalyptic number.

234344004134320 is a gapful number since it is divisible by the number (20) 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 234344004134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282593828114208).

234344004134320 is an abundant number, since it is smaller than the sum of its proper divisors (330843652094096).

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

234344004134320 is a wasteful number, since it uses less digits than its factorization.

234344004134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501239 (or 501233 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 234344004134320 its reverse (23431400443432), we get a palindrome (257775404577752).

The spelling of 234344004134320 in words is "two hundred thirty-four trillion, three hundred forty-four billion, four million, one hundred thirty-four thousand, three hundred twenty".