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1434441300 = 22352173143211
BaseRepresentation
bin101010101111111…
…1101011001010100
310200222011011112120
41111133331121110
510414204110200
6354201015540
750355356415
oct12537753124
93628134476
101434441300
11676782a86
123404845b0
1319b24a146
14d871980c
1585de99a0
hex557fd654

1434441300 has 288 divisors, whose sum is σ = 4663701504. Its totient is φ = 338688000.

The previous prime is 1434441263. The next prime is 1434441301. The reversal of 1434441300 is 31444341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434441301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6798195 + ... + 6798405.

It is an arithmetic number, because the mean of its divisors is an integer number (16193408).

Almost surely, 21434441300 is an apocalyptic number.

1434441300 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 1434441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331850752).

1434441300 is an abundant number, since it is smaller than the sum of its proper divisors (3229260204).

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

1434441300 is a wasteful number, since it uses less digits than its factorization.

1434441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1434441300 is about 37874.0187991716. The cubic root of 1434441300 is about 1127.7883229125.

Adding to 1434441300 its reverse (31444341), we get a palindrome (1465885641).

The spelling of 1434441300 in words is "one billion, four hundred thirty-four million, four hundred forty-one thousand, three hundred".