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234045000 = 2332547743
BaseRepresentation
bin11011111001100…
…11111001001000
3121022101201101100
431330303321020
5434403420000
635120221400
75541230640
oct1574637110
9538351340
10234045000
11110126522
126646a860
1339647487
1423125520
1515831a00
hexdf33e48

234045000 has 240 divisors, whose sum is σ = 906459840. Its totient is φ = 53424000.

The previous prime is 234044999. The next prime is 234045011. The reversal of 234045000 is 540432.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314629 + ... + 315371.

It is an arithmetic number, because the mean of its divisors is an integer number (3776916).

Almost surely, 2234045000 is an apocalyptic number.

234045000 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 234045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453229920).

234045000 is an abundant number, since it is smaller than the sum of its proper divisors (672414840).

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

234045000 is a wasteful number, since it uses less digits than its factorization.

234045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 234045000 is about 15298.5293410837. The cubic root of 234045000 is about 616.2635137824.

Adding to 234045000 its reverse (540432), we get a palindrome (234585432).

The spelling of 234045000 in words is "two hundred thirty-four million, forty-five thousand".