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233740240 = 2452921753
BaseRepresentation
bin11011110111010…
…01011111010000
3121021211020022221
431323221133100
5434314141430
635105510424
75535521266
oct1573513720
9537736287
10233740240
1110aa38558
1266342414
133956b846
1423086436
15157c157a
hexdee97d0

233740240 has 20 divisors (see below), whose sum is σ = 543446244. Its totient is φ = 93496064.

The previous prime is 233740219. The next prime is 233740253. The reversal of 233740240 is 42047332.

It can be written as a sum of positive squares in 2 ways, for example, as 179452816 + 54287424 = 13396^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1460797 + ... + 1460956.

Almost surely, 2233740240 is an apocalyptic number.

233740240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233740240 is an abundant number, since it is smaller than the sum of its proper divisors (309706004).

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

233740240 is a wasteful number, since it uses less digits than its factorization.

233740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921766 (or 2921760 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 233740240 is about 15288.5656619580. The cubic root of 233740240 is about 615.9959099071.

Adding to 233740240 its reverse (42047332), we get a palindrome (275787572).

The spelling of 233740240 in words is "two hundred thirty-three million, seven hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2921753 5843506 11687012 14608765 23374024 29217530 46748048 58435060 116870120 233740240