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1434785040 = 24325131771127
BaseRepresentation
bin101010110000101…
…0001010100010000
310200222210122001200
41111201101110100
510414301110130
6354212231200
750361320523
oct12541212420
93628718050
101434785040
11676998267
1234060b500
1319b33a740
14d87a8bba
1585e66760
hex55851510

1434785040 has 480 divisors, whose sum is σ = 5615640576. Its totient is φ = 325140480.

The previous prime is 1434785029. The next prime is 1434785041. The reversal of 1434785040 is 405874341.

1434785040 is a `hidden beast` number, since 143 + 4 + 7 + 8 + 504 + 0 = 666.

It is a super-2 number, since 2×14347850402 = 4117216222015603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1434784986 and 1434785004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434785041) 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 95 ways as a sum of consecutive naturals, for example, 11297457 + ... + 11297583.

Almost surely, 21434785040 is an apocalyptic number.

1434785040 is a gapful number since it is divisible by the number (10) 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 1434785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807820288).

1434785040 is an abundant number, since it is smaller than the sum of its proper divisors (4180855536).

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

1434785040 is a wasteful number, since it uses less digits than its factorization.

1434785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1434785040 is about 37878.5564666871. The cubic root of 1434785040 is about 1127.8784009557.

The spelling of 1434785040 in words is "one billion, four hundred thirty-four million, seven hundred eighty-five thousand, forty".