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234034000 = 2453117017
BaseRepresentation
bin11011111001100…
…01001101010000
3121022101011021221
431330301031100
5434403042000
635120054424
75541153604
oct1574611520
9538334257
10234034000
11110119232
1266464414
1339642475
1423121504
151582d61a
hexdf31350

234034000 has 40 divisors (see below), whose sum is σ = 565899048. Its totient is φ = 93612800.

The previous prime is 234033997. The next prime is 234034007. The reversal of 234034000 is 430432.

234034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10471696 + 223562304 = 3236^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234034007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56509 + ... + 60508.

Almost surely, 2234034000 is an apocalyptic number.

234034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234034000 is an abundant number, since it is smaller than the sum of its proper divisors (331865048).

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

234034000 is a wasteful number, since it uses less digits than its factorization.

234034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117040 (or 117024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234034000 is about 15298.1698251784. The cubic root of 234034000 is about 616.2538589371.

Adding to 234034000 its reverse (430432), we get a palindrome (234464432).

The spelling of 234034000 in words is "two hundred thirty-four million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 117017 234034 468068 585085 936136 1170170 1872272 2340340 2925425 4680680 5850850 9361360 11701700 14627125 23403400 29254250 46806800 58508500 117017000 234034000