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423538304 = 2774310993
BaseRepresentation
bin11001001111101…
…010111010000000
31002111221222022212
4121033222322000
51331411211204
6110005521252
713332005360
oct3117527200
91074858285
10423538304
111a8092662
12b9a13228
13699933a7
14403709a0
15272b2c6e
hex193eae80

423538304 has 64 divisors (see below), whose sum is σ = 986821440. Its totient is φ = 177278976.

The previous prime is 423538279. The next prime is 423538309. The reversal of 423538304 is 403835324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (423538309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33032 + ... + 44024.

It is an arithmetic number, because the mean of its divisors is an integer number (15419085).

Almost surely, 2423538304 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 423538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493410720).

423538304 is an abundant number, since it is smaller than the sum of its proper divisors (563283136).

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

423538304 is a wasteful number, since it uses less digits than its factorization.

423538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057 (or 11045 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 423538304 is about 20580.0462584514. The cubic root of 423538304 is about 750.9843690877.

The spelling of 423538304 in words is "four hundred twenty-three million, five hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 10993 19264 21986 38528 43972 76951 87944 153902 175888 307804 351776 472699 615608 703552 945398 1231216 1407104 1890796 2462432 3308893 3781592 4924864 6617786 7563184 9849728 13235572 15126368 26471144 30252736 52942288 60505472 105884576 211769152 423538304