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423354006 = 23329436287
BaseRepresentation
bin11001001110111…
…101111010010110
31002111121121112000
4121032331322112
51331334312011
6110001540130
713330310145
oct3116757226
91074547460
10423354006
111a7a77149
12b9944646
136992a53a
144032375c
1527278356
hex193bde96

423354006 has 64 divisors (see below), whose sum is σ = 996019200. Its totient is φ = 133062048.

The previous prime is 423353989. The next prime is 423354007. The reversal of 423354006 is 600453324.

It is a super-2 number, since 2×4233540062 = 358457228792496072, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423354007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64195 + ... + 70481.

It is an arithmetic number, because the mean of its divisors is an integer number (15562800).

Almost surely, 2423354006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423354006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498009600).

423354006 is an abundant number, since it is smaller than the sum of its proper divisors (572665194).

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

423354006 is a wasteful number, since it uses less digits than its factorization.

423354006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 423354006 is about 20575.5681817052. The cubic root of 423354006 is about 750.8754257754.

The spelling of 423354006 in words is "four hundred twenty-three million, three hundred fifty-four thousand, six".

Divisors: 1 2 3 6 9 18 27 29 43 54 58 86 87 129 174 258 261 387 522 774 783 1161 1247 1566 2322 2494 3741 6287 7482 11223 12574 18861 22446 33669 37722 56583 67338 113166 169749 182323 270341 339498 364646 540682 546969 811023 1093938 1622046 1640907 2433069 3281814 4866138 4922721 7299207 7839889 9845442 14598414 15679778 23519667 47039334 70559001 141118002 211677003 423354006