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233343240 = 233513149579
BaseRepresentation
bin11011110100010…
…00100100001000
3121021002001202020
431322020210020
5434213440430
635053204440
75532245664
oct1572104410
9537061666
10233343240
1110a797259
1266190720
133945cc30
1422dc18a4
1515743b10
hexde88908

233343240 has 64 divisors (see below), whose sum is σ = 753883200. Its totient is φ = 57437952.

The previous prime is 233343223. The next prime is 233343247. The reversal of 233343240 is 42343332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233343240.

It is not an unprimeable number, because it can be changed into a prime (233343247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73230 + ... + 76349.

It is an arithmetic number, because the mean of its divisors is an integer number (11779425).

Almost surely, 2233343240 is an apocalyptic number.

233343240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233343240 is an abundant number, since it is smaller than the sum of its proper divisors (520539960).

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

233343240 is a wasteful number, since it uses less digits than its factorization.

233343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149606 (or 149602 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 233343240 is about 15275.5765848625. The cubic root of 233343240 is about 615.6469627730.

Adding to 233343240 its reverse (42343332), we get a palindrome (275686572).

The spelling of 233343240 in words is "two hundred thirty-three million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 149579 299158 448737 598316 747895 897474 1196632 1495790 1794948 1944527 2243685 2991580 3589896 3889054 4487370 5833581 5983160 7778108 8974740 9722635 11667162 15556216 17949480 19445270 23334324 29167905 38890540 46668648 58335810 77781080 116671620 233343240