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2069635344 = 2437219291597
BaseRepresentation
bin111101101011100…
…0010000100010000
312100020101100221220
41323113002010100
513214311312334
6541211245040
7102200416200
oct17327020420
95306340856
102069635344
11972289737
12499149780
1326ca18bca
14158c24400
15c1a6a449
hex7b5c2110

2069635344 has 240 divisors, whose sum is σ = 6776798400. Its totient is φ = 540546048.

The previous prime is 2069635343. The next prime is 2069635397. The reversal of 2069635344 is 4435369602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2069635296 and 2069635305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069635343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295154 + ... + 1296750.

It is an arithmetic number, because the mean of its divisors is an integer number (28236660).

Almost surely, 22069635344 is an apocalyptic number.

2069635344 is a gapful number since it is divisible by the number (24) 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 2069635344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388399200).

2069635344 is an abundant number, since it is smaller than the sum of its proper divisors (4707163056).

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

2069635344 is a wasteful number, since it uses less digits than its factorization.

2069635344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 2069635344 is about 45493.2450370382. The cubic root of 2069635344 is about 1274.3770570129.

The spelling of 2069635344 in words is "two billion, sixty-nine million, six hundred thirty-five thousand, three hundred forty-four".