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423509940 = 223257248017
BaseRepresentation
bin11001001111100…
…011111110110100
31002111220112102100
4121033203332310
51331404304230
6110005142100
713331526600
oct3117437664
91074815370
10423509940
111a8073317
12b99ba930
13699834c9
1440364500
15272a9660
hex193e3fb4

423509940 has 108 divisors (see below), whose sum is σ = 1494416196. Its totient is φ = 96800256.

The previous prime is 423509929. The next prime is 423509963. The reversal of 423509940 is 49905324.

It can be written as a sum of positive squares in 2 ways, for example, as 109369764 + 314140176 = 10458^2 + 17724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423509895 and 423509904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15189 + ... + 32828.

It is an arithmetic number, because the mean of its divisors is an integer number (13837187).

Almost surely, 2423509940 is an apocalyptic number.

It is an amenable number.

423509940 is an abundant number, since it is smaller than the sum of its proper divisors (1070906256).

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

423509940 is a wasteful number, since it uses less digits than its factorization.

423509940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48046 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 423509940 is about 20579.3571328164. The cubic root of 423509940 is about 750.9676044520.

The spelling of 423509940 in words is "four hundred twenty-three million, five hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 48017 96034 144051 192068 240085 288102 336119 432153 480170 576204 672238 720255 864306 960340 1008357 1344476 1440510 1680595 1728612 2016714 2160765 2352833 2881020 3025071 3361190 4033428 4321530 4705666 5041785 6050142 6722380 7058499 8643060 9411332 10083570 11764165 12100284 14116998 15125355 20167140 21175497 23528330 28233996 30250710 35292495 42350994 47056660 60501420 70584990 84701988 105877485 141169980 211754970 423509940