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1322440040 = 235102132381
BaseRepresentation
bin100111011010010…
…1101010101101000
310102011101220200202
41032310231111220
510202021040130
6335120251332
744525361215
oct11664552550
93364356622
101322440040
11619534859
1230aa70b48
13180c93bcc
14c78c2b0c
157b174145
hex4ed2d568

1322440040 has 32 divisors (see below), whose sum is σ = 2978496360. Its totient is φ = 528441600.

The previous prime is 1322440003. The next prime is 1322440057. The reversal of 1322440040 is 400442231.

It can be written as a sum of positive squares in 4 ways, for example, as 1155048196 + 167391844 = 33986^2 + 12938^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1322439994 and 1322440021.

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, 24650 + ... + 57030.

Almost surely, 21322440040 is an apocalyptic number.

1322440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322440040 is an abundant number, since it is smaller than the sum of its proper divisors (1656056320).

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

1322440040 is a wasteful number, since it uses less digits than its factorization.

1322440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33413 (or 33409 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1322440040 is about 36365.3686905550. The cubic root of 1322440040 is about 1097.6368109674.

Adding to 1322440040 its reverse (400442231), we get a palindrome (1722882271).

The spelling of 1322440040 in words is "one billion, three hundred twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1021 2042 4084 5105 8168 10210 20420 32381 40840 64762 129524 161905 259048 323810 647620 1295240 33061001 66122002 132244004 165305005 264488008 330610010 661220020 1322440040