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234040000 = 26545851
BaseRepresentation
bin11011111001100…
…10101011000000
3121022101110112011
431330302223000
5434403240000
635120142304
75541210235
oct1574625300
9538343464
10234040000
11110122797
1266467994
133964510c
142312378c
15158302ba
hexdf32ac0

234040000 has 70 divisors (see below), whose sum is σ = 580442324. Its totient is φ = 93600000.

The previous prime is 234039941. The next prime is 234040031. The reversal of 234040000 is 40432.

234040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37075 + ... + 42925.

Almost surely, 2234040000 is an apocalyptic number.

234040000 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 234040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290221162).

234040000 is an abundant number, since it is smaller than the sum of its proper divisors (346402324).

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

234040000 is an frugal number, since it uses more digits than its factorization.

234040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 234040000 is about 15298.3659258105. The cubic root of 234040000 is about 616.2591252539.

Adding to 234040000 its reverse (40432), we get a palindrome (234080432).

The spelling of 234040000 in words is "two hundred thirty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 5851 8000 10000 11702 20000 23404 29255 40000 46808 58510 93616 117020 146275 187232 234040 292550 374464 468080 585100 731375 936160 1170200 1462750 1872320 2340400 2925500 3656875 4680800 5851000 7313750 9361600 11702000 14627500 23404000 29255000 46808000 58510000 117020000 234040000