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1429381640 = 23535734541
BaseRepresentation
bin101010100110010…
…1010001000001000
310200121122002222202
41111030222020020
510411410203030
6353500335332
750264354261
oct12514521010
93617562882
101429381640
11673937645
1233a844548
1319a19816b
14d7b9d968
158574a745
hex5532a208

1429381640 has 16 divisors (see below), whose sum is σ = 3216108780. Its totient is φ = 571752640.

The previous prime is 1429381633. The next prime is 1429381643. The reversal of 1429381640 is 461839241.

It can be written as a sum of positive squares in 2 ways, for example, as 1397413924 + 31967716 = 37382^2 + 5654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1429381594 and 1429381603.

It is not an unprimeable number, because it can be changed into a prime (1429381643) 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 3 ways as a sum of consecutive naturals, for example, 17867231 + ... + 17867310.

Almost surely, 21429381640 is an apocalyptic number.

1429381640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429381640 is an abundant number, since it is smaller than the sum of its proper divisors (1786727140).

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

1429381640 is a wasteful number, since it uses less digits than its factorization.

1429381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35734552 (or 35734548 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1429381640 is about 37807.1638714146. The cubic root of 1429381640 is about 1126.4607566155.

The spelling of 1429381640 in words is "one billion, four hundred twenty-nine million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 35734541 71469082 142938164 178672705 285876328 357345410 714690820 1429381640