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1429305696 = 2533741353
BaseRepresentation
bin101010100110001…
…0111100101100000
310200121111020211000
41111030113211200
510411400240241
6353454552000
750263620000
oct12514274540
93617436730
101429305696
11673895585
1233a808600
1319a16c720
14d7b80000
1585732eb6
hex55317960

1429305696 has 480 divisors, whose sum is σ = 5336241120. Its totient is φ = 369847296.

The previous prime is 1429305677. The next prime is 1429305737. The reversal of 1429305696 is 6965039241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26968006 + ... + 26968058.

It is an arithmetic number, because the mean of its divisors is an integer number (11117169).

Almost surely, 21429305696 is an apocalyptic number.

1429305696 is a gapful number since it is divisible by the number (16) 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 1429305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668120560).

1429305696 is an abundant number, since it is smaller than the sum of its proper divisors (3906935424).

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

1429305696 is an equidigital number, since it uses as much as digits as its factorization.

1429305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1429305696 is about 37806.1594981559. The cubic root of 1429305696 is about 1126.4408063917.

The spelling of 1429305696 in words is "one billion, four hundred twenty-nine million, three hundred five thousand, six hundred ninety-six".