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234675840 = 2735719919
BaseRepresentation
bin11011111110011…
…01111010000000
3121100120202201210
431333031322000
5440034111330
635141530120
75546466060
oct1577157200
9540522653
10234675840
11110517483
1266713940
1339808659
142324b3a0
15159088b0
hexdfcde80

234675840 has 256 divisors, whose sum is σ = 900864000. Its totient is φ = 50761728.

The previous prime is 234675839. The next prime is 234675887. The reversal of 234675840 is 48576432.

It is a happy number.

234675840 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 254901 + ... + 255819.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2234675840 is an apocalyptic number.

234675840 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 234675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450432000).

234675840 is an abundant number, since it is smaller than the sum of its proper divisors (666188160).

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

234675840 is a wasteful number, since it uses less digits than its factorization.

234675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 234675840 is about 15319.1331347436. The cubic root of 234675840 is about 616.8167049902.

The spelling of 234675840 in words is "two hundred thirty-four million, six hundred seventy-five thousand, eight hundred forty".