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1430269128 = 233244572
BaseRepresentation
bin101010101000000…
…0010110011001000
310200200022012101200
41111100002303020
510412122103003
6353531344200
750305041561
oct12520026310
93620265350
101430269128
11674393402
1233abb2060
1319a4190c2
14d7d51168
15858736a3
hex55402cc8

1430269128 has 36 divisors (see below), whose sum is σ = 3874514865. Its totient is φ = 476649408.

The previous prime is 1430269117. The next prime is 1430269129. The reversal of 1430269128 is 8219620341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1369148004 + 61121124 = 37002^2 + 7818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26742.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1430269092 and 1430269101.

It is not an unprimeable number, because it can be changed into a prime (1430269129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 318676 + ... + 323132.

Almost surely, 21430269128 is an apocalyptic number.

1430269128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1430269128 is an abundant number, since it is smaller than the sum of its proper divisors (2444245737).

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

1430269128 is an frugal number, since it uses more digits than its factorization.

1430269128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1430269128 is about 37818.8990849813. The cubic root of 1430269128 is about 1126.6938442534.

Adding to 1430269128 its reverse (8219620341), we get a palindrome (9649889469).

The spelling of 1430269128 in words is "one billion, four hundred thirty million, two hundred sixty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4457 8914 13371 17828 26742 35656 40113 53484 80226 106968 160452 320904 19864849 39729698 59594547 79459396 119189094 158918792 178783641 238378188 357567282 476756376 715134564 1430269128