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1434690000 = 24325419839
BaseRepresentation
bin101010110000011…
…1010000111010000
310200222121210200200
41111200322013100
510414240040000
6354210215200
750360443452
oct12540720720
93628553620
101434690000
11676932917
12340584500
1319b3063c3
14d87822d2
1585e48500
hex5583a1d0

1434690000 has 300 divisors, whose sum is σ = 5287682400. Its totient is φ = 362016000.

The previous prime is 1434689983. The next prime is 1434690071. The reversal of 1434690000 is 964341.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×14346900002 = 4116670792200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1709581 + ... + 1710419.

It is an arithmetic number, because the mean of its divisors is an integer number (17625608).

Almost surely, 21434690000 is an apocalyptic number.

1434690000 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 1434690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643841200).

1434690000 is an abundant number, since it is smaller than the sum of its proper divisors (3852992400).

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

1434690000 is a wasteful number, since it uses less digits than its factorization.

1434690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1434690000 is about 37877.3019102470. The cubic root of 1434690000 is about 1127.8534968929.

The spelling of 1434690000 in words is "one billion, four hundred thirty-four million, six hundred ninety thousand".