Search a number
-
+
6235309440 = 2732567107151
BaseRepresentation
bin1011100111010011…
…10100010110000000
3121002112211112112200
411303221310112000
5100232214400230
62510420153200
7310342153503
oct56351642600
917075745480
106235309440
11270a7402a8
121260238800
13784a66919
1443218313a
15267619160
hex173a74580

6235309440 has 384 divisors, whose sum is σ = 22202968320. Its totient is φ = 1611878400.

The previous prime is 6235309427. The next prime is 6235309447. The reversal of 6235309440 is 449035326.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×62353094402 = 77758167625106227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6235309395 and 6235309404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6235309447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41293365 + ... + 41293515.

It is an arithmetic number, because the mean of its divisors is an integer number (57820230).

Almost surely, 26235309440 is an apocalyptic number.

6235309440 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 6235309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101484160).

6235309440 is an abundant number, since it is smaller than the sum of its proper divisors (15967658880).

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

6235309440 is a wasteful number, since it uses less digits than its factorization.

6235309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6235309440 is about 78963.9755838066. The cubic root of 6235309440 is about 1840.5714041350.

The spelling of 6235309440 in words is "six billion, two hundred thirty-five million, three hundred nine thousand, four hundred forty".