234109440 has 200 divisors, whose sum is σ = 839248740. Its totient is φ = 62373888.

The previous prime is 234109423. The next prime is 234109453. The reversal of 234109440 is 44901432.

It can be written as a sum of positive squares in 2 ways, for example, as 211527936 + 22581504 = 14544^2 + 4752^2 .

It is a super-2 number, since 2×234109440² = 109614459794227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206796 + ... + 207924.

Almost surely, 2^234109440 is an apocalyptic number.

234109440 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 234109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419624370).

234109440 is an abundant number, since it is smaller than the sum of its proper divisors (605139300).

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

234109440 is an equidigital number, since it uses as much as digits as its factorization.

234109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 234109440 is about 15300.6352809287. The cubic root of 234109440 is about 616.3200675459.

The spelling of 234109440 in words is "two hundred thirty-four million, one hundred nine thousand, four hundred forty".