Search a number
-
+
3423095040 = 28352959521
BaseRepresentation
bin1100110000001000…
…0100100100000000
322211120011020121210
43030002010210000
524002303020130
61323400450120
7150553553631
oct31402044400
98746136553
103423095040
1114a727aa72
127b6479940
13427250c31
1424689d888
151507ba5b0
hexcc084900

3423095040 has 288 divisors, whose sum is σ = 11523254400. Its totient is φ = 864747520.

The previous prime is 3423095033. The next prime is 3423095041. The reversal of 3423095040 is 405903243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3423094989 and 3423095007.

It is not an unprimeable number, because it can be changed into a prime (3423095041) 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, 6569980 + ... + 6570500.

It is an arithmetic number, because the mean of its divisors is an integer number (40011300).

Almost surely, 23423095040 is an apocalyptic number.

3423095040 is a gapful number since it is divisible by the number (30) 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 3423095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761627200).

3423095040 is an abundant number, since it is smaller than the sum of its proper divisors (8100159360).

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

3423095040 is a wasteful number, since it uses less digits than its factorization.

3423095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3423095040 is about 58507.2221182992. Note that the first 3 decimals coincide. The cubic root of 3423095040 is about 1507.0916109775.

Adding to 3423095040 its reverse (405903243), we get a palindrome (3828998283).

The spelling of 3423095040 in words is "three billion, four hundred twenty-three million, ninety-five thousand, forty".