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303504468 = 2231741131277
BaseRepresentation
bin10010000101110…
…001110001010100
3210011002121212020
4102011301301110
51110144120333
650041053140
710343513451
oct2205616124
9704077766
10303504468
11146358443
12857871b0
134ab56c57
142c446828
151b9a23b3
hex12171c54

303504468 has 96 divisors (see below), whose sum is σ = 776780928. Its totient is φ = 91852800.

The previous prime is 303504391. The next prime is 303504479. The reversal of 303504468 is 864405303.

303504468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3035044682 = 184229924191926048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095546 + ... + 1095822.

It is an arithmetic number, because the mean of its divisors is an integer number (8091468).

Almost surely, 2303504468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303504468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388390464).

303504468 is an abundant number, since it is smaller than the sum of its proper divisors (473276460).

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

303504468 is a wasteful number, since it uses less digits than its factorization.

303504468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 303504468 is about 17421.3796238989. The cubic root of 303504468 is about 672.0295391635.

The spelling of 303504468 in words is "three hundred three million, five hundred four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 131 164 204 246 262 277 393 492 524 554 697 786 831 1108 1394 1572 1662 2091 2227 2788 3324 4182 4454 4709 5371 6681 8364 8908 9418 10742 11357 13362 14127 16113 18836 21484 22714 26724 28254 32226 34071 36287 45428 56508 64452 68142 72574 91307 108861 136284 145148 182614 193069 217722 273921 365228 386138 435444 547842 579207 616879 772276 1095684 1158414 1233758 1487767 1850637 2316828 2467516 2975534 3701274 4463301 5951068 7402548 8926602 17853204 25292039 50584078 75876117 101168156 151752234 303504468