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6346023420 = 22351143311719
BaseRepresentation
bin1011110100100000…
…01010000111111100
3121101021011101120110
411322100022013330
5100444040222140
62525413150020
7313155211002
oct57220120774
917337141513
106346023420
11276718a360
12129132b310
137a198bc59
14442b62a72
152721d8380
hex17a40a1fc

6346023420 has 192 divisors, whose sum is σ = 19926466560. Its totient is φ = 1495737600.

The previous prime is 6346023407. The next prime is 6346023457. The reversal of 6346023420 is 243206436.

It is a happy number.

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

It is a congruent number.

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, 8825821 + ... + 8826539.

It is an arithmetic number, because the mean of its divisors is an integer number (103783680).

Almost surely, 26346023420 is an apocalyptic number.

6346023420 is a gapful number since it is divisible by the number (60) 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 6346023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963233280).

6346023420 is an abundant number, since it is smaller than the sum of its proper divisors (13580443140).

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

6346023420 is a wasteful number, since it uses less digits than its factorization.

6346023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 6346023420 is about 79661.9320629371. The cubic root of 6346023420 is about 1851.4012680335.

Adding to 6346023420 its reverse (243206436), we get a palindrome (6589229856).

The spelling of 6346023420 in words is "six billion, three hundred forty-six million, twenty-three thousand, four hundred twenty".