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303984090 = 23452912941
BaseRepresentation
bin10010000111100…
…110110111011010
3210011222222210000
4102013212313122
51110304442330
650055233430
710350551664
oct2207466732
9704888700
10303984090
11146655823
1285978876
134ac94357
142c52d534
151ba49560
hex121e6dda

303984090 has 80 divisors (see below), whose sum is σ = 845630280. Its totient is φ = 78261120.

The previous prime is 303984073. The next prime is 303984101. The reversal of 303984090 is 90489303.

It can be written as a sum of positive squares in 4 ways, for example, as 274531761 + 29452329 = 16569^2 + 5427^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17020 + ... + 29960.

Almost surely, 2303984090 is an apocalyptic number.

303984090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303984090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422815140).

303984090 is an abundant number, since it is smaller than the sum of its proper divisors (541646190).

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

303984090 is a wasteful number, since it uses less digits than its factorization.

303984090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12989 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 303984090 is about 17435.1395176523. The cubic root of 303984090 is about 672.3833511050.

The spelling of 303984090 in words is "three hundred three million, nine hundred eighty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 12941 23490 25882 38823 64705 77646 116469 129410 194115 232938 349407 375289 388230 582345 698814 750578 1048221 1125867 1164690 1747035 1876445 2096442 2251734 3377601 3494070 3752890 5241105 5629335 6755202 10132803 10482210 11258670 16888005 20265606 30398409 33776010 50664015 60796818 101328030 151992045 303984090