Search a number
-
+
2423123340 = 22351137671481
BaseRepresentation
bin1001000001101101…
…1110110110001100
320020212112102022220
42100123132312030
514430304421330
61040235535340
7114022131351
oct22033366614
96225472286
102423123340
111033876480
125775ba550
132c80238c1
1418db5c628
15e2ae2710
hex906ded8c

2423123340 has 192 divisors, whose sum is σ = 7720247808. Its totient is φ = 562636800.

The previous prime is 2423123323. The next prime is 2423123359. The reversal of 2423123340 is 433213242.

2423123340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2423123340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1635400 + ... + 1636880.

It is an arithmetic number, because the mean of its divisors is an integer number (40209624).

Almost surely, 22423123340 is an apocalyptic number.

2423123340 is a gapful number since it is divisible by the number (20) 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 2423123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860123904).

2423123340 is an abundant number, since it is smaller than the sum of its proper divisors (5297124468).

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

2423123340 is a wasteful number, since it uses less digits than its factorization.

2423123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2423123340 is about 49225.2307257163. The cubic root of 2423123340 is about 1343.1520325131.

Adding to 2423123340 its reverse (433213242), we get a palindrome (2856336582).

The spelling of 2423123340 in words is "two billion, four hundred twenty-three million, one hundred twenty-three thousand, three hundred forty".