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331784420 = 225112711931
BaseRepresentation
bin10011110001101…
…010000011100100
3212010022101122212
4103301222003210
51134414100140
652531142552
711136056342
oct2361520344
9763271585
10331784420
11160313600
1293144a58
1353979056
14320c8992
151e1db765
hex13c6a0e4

331784420 has 72 divisors (see below), whose sum is σ = 777034944. Its totient is φ = 118888000.

The previous prime is 331784377. The next prime is 331784443. The reversal of 331784420 is 24487133.

It is a super-2 number, since 2×3317844202 = 220161802709472800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170855 + ... + 172785.

It is an arithmetic number, because the mean of its divisors is an integer number (10792152).

Almost surely, 2331784420 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 331784420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388517472).

331784420 is an abundant number, since it is smaller than the sum of its proper divisors (445250524).

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

331784420 is a wasteful number, since it uses less digits than its factorization.

331784420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 331784420 is about 18214.9504528560. The cubic root of 331784420 is about 692.2856500548.

The spelling of 331784420 in words is "three hundred thirty-one million, seven hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 355 484 605 710 781 1210 1420 1562 1931 2420 3124 3862 3905 7724 7810 8591 9655 15620 17182 19310 21241 34364 38620 42482 42955 84964 85910 106205 137101 171820 212410 233651 274202 424820 467302 548404 685505 934604 1168255 1371010 1508111 2336510 2742020 3016222 4673020 6032444 7540555 15081110 16589221 30162220 33178442 66356884 82946105 165892210 331784420