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423413406 = 2361389251
BaseRepresentation
bin11001001111001…
…100011010011110
31002111201122000000
4121033030122132
51331343212111
6110003115130
713330645263
oct3117143236
91074648000
10423413406
111a8007839
12b9972aa6
136994b5a0
144033b26a
152728ac56
hex193cc69e

423413406 has 112 divisors (see below), whose sum is σ = 1041148080. Its totient is φ = 128304000.

The previous prime is 423413387. The next prime is 423413429. The reversal of 423413406 is 604314324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 423413406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1686781 + ... + 1687031.

It is an arithmetic number, because the mean of its divisors is an integer number (9295965).

Almost surely, 2423413406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423413406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520574040).

423413406 is an abundant number, since it is smaller than the sum of its proper divisors (617734674).

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

423413406 is a wasteful number, since it uses less digits than its factorization.

423413406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 423413406 is about 20577.0115906076. The cubic root of 423413406 is about 750.9105421034.

The spelling of 423413406 in words is "four hundred twenty-three million, four hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 89 117 162 178 234 243 251 267 351 486 502 534 702 729 753 801 1053 1157 1458 1506 1602 2106 2259 2314 2403 3159 3263 3471 4518 4806 6318 6526 6777 6942 7209 9477 9789 10413 13554 14418 18954 19578 20331 20826 21627 22339 29367 31239 40662 43254 44678 58734 60993 62478 64881 67017 88101 93717 121986 129762 134034 176202 182979 187434 201051 264303 281151 290407 365958 402102 528606 562302 580814 603153 792909 843453 871221 1206306 1585818 1686906 1742442 1809459 2378727 2613663 3618918 4757454 5227326 5428377 7840989 10856754 15681978 16285131 23522967 32570262 47045934 70568901 141137802 211706703 423413406