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1434506688 = 2632192341139
BaseRepresentation
bin101010110000000…
…1101010111000000
310200222021111020100
41111200031113000
510414213203223
6354202242400
750356051146
oct12540152700
93628244210
101434506688
1167681811a
123404b6400
1319b270b34
14d8735596
1585e0e043
hex5580d5c0

1434506688 has 336 divisors, whose sum is σ = 4659782400. Its totient is φ = 419696640.

The previous prime is 1434506681. The next prime is 1434506701. The reversal of 1434506688 is 8866054341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434506681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10320123 + ... + 10320261.

It is an arithmetic number, because the mean of its divisors is an integer number (13868400).

Almost surely, 21434506688 is an apocalyptic number.

1434506688 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 1434506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329891200).

1434506688 is an abundant number, since it is smaller than the sum of its proper divisors (3225275712).

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

1434506688 is a wasteful number, since it uses less digits than its factorization.

1434506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1434506688 is about 37874.8820196182. The cubic root of 1434506688 is about 1127.8054591318.

The spelling of 1434506688 in words is "one billion, four hundred thirty-four million, five hundred six thousand, six hundred eighty-eight".