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1940108352 = 263721329547
BaseRepresentation
bin111001110100011…
…1011010001000000
312000012122201022220
41303220323101000
512433131431402
6520303131040
766035435400
oct16350732100
95005581286
101940108352
11906160136
124618a3a80
1324bc37810
14145948800
15b54d1dbc
hex73a3b440

1940108352 has 336 divisors, whose sum is σ = 6664512960. Its totient is φ = 493129728.

The previous prime is 1940108329. The next prime is 1940108353. The reversal of 1940108352 is 2538010491.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1940108353) 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, 3546543 + ... + 3547089.

It is an arithmetic number, because the mean of its divisors is an integer number (19834860).

Almost surely, 21940108352 is an apocalyptic number.

1940108352 is a gapful number since it is divisible by the number (12) 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 1940108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332256480).

1940108352 is an abundant number, since it is smaller than the sum of its proper divisors (4724404608).

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

1940108352 is a wasteful number, since it uses less digits than its factorization.

1940108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1940108352 is about 44046.6610766355. The cubic root of 1940108352 is about 1247.2169232792.

The spelling of 1940108352 in words is "one billion, nine hundred forty million, one hundred eight thousand, three hundred fifty-two".