Search a number
-
+
234023040 = 2733529467
BaseRepresentation
bin11011111001011…
…10100010000000
3121022100121021000
431330232202000
5434402214130
635115532000
75541106626
oct1574564200
9538317230
10234023040
11110110a79
126645a000
133963a494
142311b516
151582a260
hexdf2e880

234023040 has 256 divisors, whose sum is σ = 859248000. Its totient is φ = 60125184.

The previous prime is 234023033. The next prime is 234023047. The reversal of 234023040 is 40320432.

It is an interprime number because it is at equal distance from previous prime (234023033) and next prime (234023047).

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

It is not an unprimeable number, because it can be changed into a prime (234023047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500887 + ... + 501353.

Almost surely, 2234023040 is an apocalyptic number.

234023040 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 234023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

234023040 is an abundant number, since it is smaller than the sum of its proper divisors (625224960).

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

234023040 is a wasteful number, since it uses less digits than its factorization.

234023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

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

The square root of 234023040 is about 15297.8116082007. The cubic root of 234023040 is about 616.2442388993.

Adding to 234023040 its reverse (40320432), we get a palindrome (274343472).

The spelling of 234023040 in words is "two hundred thirty-four million, twenty-three thousand, forty".