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1418338350 = 2345211133179
BaseRepresentation
bin101010010001010…
…0010000000101110
310122211212001110000
41110202202000232
510401043311400
6352423525130
750101451142
oct12442420056
93584761400
101418338350
11668684660
12336bb97a6
13197acc780
14d6527222
15847b8600
hex548a202e

1418338350 has 480 divisors, whose sum is σ = 4839690240. Its totient is φ = 303264000.

The previous prime is 1418338349. The next prime is 1418338357. The reversal of 1418338350 is 538338141.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418338357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17953611 + ... + 17953689.

It is an arithmetic number, because the mean of its divisors is an integer number (10082688).

Almost surely, 21418338350 is an apocalyptic number.

1418338350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418338350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419845120).

1418338350 is an abundant number, since it is smaller than the sum of its proper divisors (3421351890).

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

1418338350 is a wasteful number, since it uses less digits than its factorization.

1418338350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1418338350 is about 37660.8331028404. The cubic root of 1418338350 is about 1123.5522710934.

The spelling of 1418338350 in words is "one billion, four hundred eighteen million, three hundred thirty-eight thousand, three hundred fifty".