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1434682368 = 2103472353
BaseRepresentation
bin101010110000011…
…1000010000000000
310200222121102020000
41111200320100000
510414234313433
6354210120000
750360412300
oct12540702000
93628542200
101434682368
11676928109
12340580000
1319b302aa2
14d877d600
1585e46113
hex55838400

1434682368 has 330 divisors, whose sum is σ = 4997828286. Its totient is φ = 408748032.

The previous prime is 1434682331. The next prime is 1434682369. The reversal of 1434682368 is 8632864341.

It can be written as a sum of positive squares in only one way, i.e., 1174569984 + 260112384 = 34272^2 + 16128^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434682369) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064080 + ... + 4064432.

Almost surely, 21434682368 is an apocalyptic number.

1434682368 is a gapful number since it is divisible by the number (18) 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 1434682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498914143).

1434682368 is an abundant number, since it is smaller than the sum of its proper divisors (3563145918).

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

1434682368 is an equidigital number, since it uses as much as digits as its factorization.

1434682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1434682368 is about 37877.2011637608. The cubic root of 1434682368 is about 1127.8514969735.

The spelling of 1434682368 in words is "one billion, four hundred thirty-four million, six hundred eighty-two thousand, three hundred sixty-eight".