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203334040 = 23571324297
BaseRepresentation
bin11000001111010…
…10000110011000
3112011121102212101
430013222012120
5404023142130
632102053144
75016211420
oct1407520630
9464542771
10203334040
11a485a968
125811a1b4
1333183a00
141d00d480
1512cb71ca
hexc1ea198

203334040 has 96 divisors (see below), whose sum is σ = 566304480. Its totient is φ = 64336896.

The previous prime is 203334013. The next prime is 203334073. The reversal of 203334040 is 40433302.

It is a junction number, because it is equal to n+sod(n) for n = 203333999 and 203334017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45172 + ... + 49468.

It is an arithmetic number, because the mean of its divisors is an integer number (5899005).

Almost surely, 2203334040 is an apocalyptic number.

203334040 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 203334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283152240).

203334040 is an abundant number, since it is smaller than the sum of its proper divisors (362970440).

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

203334040 is a wasteful number, since it uses less digits than its factorization.

203334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 203334040 is about 14259.5245362530. The cubic root of 203334040 is about 588.0352532584.

Adding to 203334040 its reverse (40433302), we get a palindrome (243767342).

The spelling of 203334040 in words is "two hundred three million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2366 3380 3640 4297 4732 5915 6760 8594 9464 11830 17188 21485 23660 30079 34376 42970 47320 55861 60158 85940 111722 120316 150395 171880 223444 240632 279305 300790 391027 446888 558610 601580 726193 782054 1117220 1203160 1452386 1564108 1955135 2234440 2904772 3128216 3630965 3910270 5083351 5809544 7261930 7820540 10166702 14523860 15641080 20333404 25416755 29047720 40666808 50833510 101667020 203334040