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1332634640 = 24552131973
BaseRepresentation
bin100111101101110…
…0110010000010000
310102212120212001112
41033123212100100
510212123302030
6340122552452
745011131121
oct11733462020
93385525045
101332634640
11624268147
12312368728
1318312320c
14c8db8048
157bed9a95
hex4f6e6410

1332634640 has 40 divisors (see below), whose sum is σ = 3104419608. Its totient is φ = 532014080.

The previous prime is 1332634627. The next prime is 1332634679. The reversal of 1332634640 is 464362331.

It can be written as a sum of positive squares in 4 ways, for example, as 316555264 + 1016079376 = 17792^2 + 31876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1332634597 and 1332634606.

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, 25694 + ... + 57666.

Almost surely, 21332634640 is an apocalyptic number.

1332634640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332634640 is an abundant number, since it is smaller than the sum of its proper divisors (1771784968).

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

1332634640 is a wasteful number, since it uses less digits than its factorization.

1332634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32507 (or 32501 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 1332634640 is about 36505.2686608385. The cubic root of 1332634640 is about 1100.4501298273.

Adding to 1332634640 its reverse (464362331), we get a palindrome (1796996971).

The spelling of 1332634640 in words is "one billion, three hundred thirty-two million, six hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 521 1042 2084 2605 4168 5210 8336 10420 20840 31973 41680 63946 127892 159865 255784 319730 511568 639460 1278920 2557840 16657933 33315866 66631732 83289665 133263464 166579330 266526928 333158660 666317320 1332634640