Search a number
-
+
3425421792 = 253133109149
BaseRepresentation
bin1100110000101011…
…1100100111100000
322211201112110022210
43030022330213200
524003401444132
61323522402120
7150612414312
oct31412744740
98751473283
103425421792
1114a861a101
127b7200340
13427887000
14246d077b2
15150ac9bcc
hexcc2bc9e0

3425421792 has 192 divisors, whose sum is σ = 9896040000. Its totient is φ = 1037297664.

The previous prime is 3425421781. The next prime is 3425421803. The reversal of 3425421792 is 2971245243.

It is an interprime number because it is at equal distance from previous prime (3425421781) and next prime (3425421803).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3425421792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22989334 + ... + 22989482.

It is an arithmetic number, because the mean of its divisors is an integer number (51541875).

Almost surely, 23425421792 is an apocalyptic number.

3425421792 is a gapful number since it is divisible by the number (32) 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 3425421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948020000).

3425421792 is an abundant number, since it is smaller than the sum of its proper divisors (6470618208).

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

3425421792 is a wasteful number, since it uses less digits than its factorization.

3425421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3425421792 is about 58527.1030549095. The cubic root of 3425421792 is about 1507.4330012659.

The spelling of 3425421792 in words is "three billion, four hundred twenty-five million, four hundred twenty-one thousand, seven hundred ninety-two".