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423642840 = 233529312049
BaseRepresentation
bin11001010000000…
…100011011011000
31002112011021201120
4121100010123120
51331423032330
6110012045240
713332622215
oct3120043330
91075137646
10423642840
111a8154155
12b9a63820
13699cbb4a
144039ab0c
15272d3c10
hex194046d8

423642840 has 64 divisors (see below), whose sum is σ = 1275372000. Its totient is φ = 112576512.

The previous prime is 423642827. The next prime is 423642841. The reversal of 423642840 is 48246324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423642841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29136 + ... + 41184.

Almost surely, 2423642840 is an apocalyptic number.

423642840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423642840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637686000).

423642840 is an abundant number, since it is smaller than the sum of its proper divisors (851729160).

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

423642840 is a wasteful number, since it uses less digits than its factorization.

423642840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 423642840 is about 20582.5858433774. The cubic root of 423642840 is about 751.0461489735.

The spelling of 423642840 in words is "four hundred twenty-three million, six hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 8790 11720 12049 17580 24098 35160 36147 48196 60245 72294 96392 120490 144588 180735 240980 289176 361470 481960 722940 1445880 3530357 7060714 10591071 14121428 17651785 21182142 28242856 35303570 42364284 52955355 70607140 84728568 105910710 141214280 211821420 423642840