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6342268240 = 245711367127
BaseRepresentation
bin1011110100000011…
…10101010101010000
3121101000002121102201
411322001311111100
5100442110040430
62525200452544
7313111250650
oct57201652520
917330077381
106342268240
112765055000
12129001a154
137a0c75959
14442466360
15271be58ca
hex17a075550

6342268240 has 320 divisors, whose sum is σ = 18961072128. Its totient is φ = 1931973120.

The previous prime is 6342268237. The next prime is 6342268253. The reversal of 6342268240 is 428622436.

It is a super-2 number, since 2×63422682402 = 80448732856225395200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6342268240.

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, 49939057 + ... + 49939183.

Almost surely, 26342268240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480536064).

6342268240 is an abundant number, since it is smaller than the sum of its proper divisors (12618803888).

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

6342268240 is a wasteful number, since it uses less digits than its factorization.

6342268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 6342268240 is about 79638.3590991176. The cubic root of 6342268240 is about 1851.0360147967.

The spelling of 6342268240 in words is "six billion, three hundred forty-two million, two hundred sixty-eight thousand, two hundred forty".