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1434827104 = 25199724329
BaseRepresentation
bin101010110000101…
…1011100101100000
310200222212202202121
41111201123211200
510414303431404
6354213154024
750361554254
oct12541334540
93628782677
101434827104
11676a16927
1234062b914
1319b353929
14d87ba264
1585e73e54
hex5585b960

1434827104 has 48 divisors (see below), whose sum is σ = 3004268400. Its totient is φ = 672620544.

The previous prime is 1434827089. The next prime is 1434827111. The reversal of 1434827104 is 4017284341.

It is a happy number.

It is a super-4 number, since 4×14348271044 (a number of 38 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1434827104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46812 + ... + 71140.

It is an arithmetic number, because the mean of its divisors is an integer number (62588925).

Almost surely, 21434827104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502134200).

1434827104 is an abundant number, since it is smaller than the sum of its proper divisors (1569441296).

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

1434827104 is a wasteful number, since it uses less digits than its factorization.

1434827104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24455 (or 24447 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 1434827104 is about 37879.1117108097. Note that the first 3 decimals coincide. The cubic root of 1434827104 is about 1127.8894229583.

The spelling of 1434827104 in words is "one billion, four hundred thirty-four million, eight hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 608 776 1552 1843 3104 3686 7372 14744 24329 29488 48658 58976 97316 194632 389264 462251 778528 924502 1849004 2359913 3698008 4719826 7396016 9439652 14792032 18879304 37758608 44838347 75517216 89676694 179353388 358706776 717413552 1434827104