Search a number
-
+
6942349440 = 27325132329139
BaseRepresentation
bin1100111011100101…
…11101100010000000
3122220211020220002100
412131302331202000
5103204220140230
63104514350400
7334015665555
oct63562754200
918824226070
106942349440
112a42858984
121418b8b400
1386839c4a0
1449c030a2c
152a972c660
hex19dcbd880

6942349440 has 768 divisors, whose sum is σ = 28068768000. Its totient is φ = 1566867456.

The previous prime is 6942349429. The next prime is 6942349457. The reversal of 6942349440 is 449432496.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49944891 + ... + 49945029.

It is an arithmetic number, because the mean of its divisors is an integer number (36547875).

Almost surely, 26942349440 is an apocalyptic number.

6942349440 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 6942349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

6942349440 is an abundant number, since it is smaller than the sum of its proper divisors (21126418560).

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

6942349440 is a wasteful number, since it uses less digits than its factorization.

6942349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6942349440 is about 83320.7623584902. The cubic root of 6942349440 is about 1907.6651971120.

The spelling of 6942349440 in words is "six billion, nine hundred forty-two million, three hundred forty-nine thousand, four hundred forty".