Search a number
-
+
423918768 = 243713374361
BaseRepresentation
bin11001010001000…
…111110010110000
31002112200022020010
4121101013302300
51332010400033
6110022014520
713335151530
oct3121076260
91075608203
10423918768
111a8322499
12b9b77440
1369a97610
144042d4c0
152733a863
hex19447cb0

423918768 has 320 divisors, whose sum is σ = 1439685632. Its totient is φ = 104509440.

The previous prime is 423918743. The next prime is 423918779. The reversal of 423918768 is 867819324.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6949458 + ... + 6949518.

Almost surely, 2423918768 is an apocalyptic number.

423918768 is a gapful number since it is divisible by the number (48) 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 423918768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719842816).

423918768 is an abundant number, since it is smaller than the sum of its proper divisors (1015766864).

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

423918768 is a wasteful number, since it uses less digits than its factorization.

423918768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 423918768 is about 20589.2877001610. The cubic root of 423918768 is about 751.2091712699.

The spelling of 423918768 in words is "four hundred twenty-three million, nine hundred eighteen thousand, seven hundred sixty-eight".