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1352435440 = 24531354011
BaseRepresentation
bin101000010011100…
…1000011011110000
310111020211211122111
41100213020123300
510232210413230
6342111215104
745341340316
oct12047103360
93436754574
101352435440
11634461844
12318b17494
13187266a75
14cb8900b6
157daeb92a
hex509c86f0

1352435440 has 40 divisors (see below), whose sum is σ = 3154516848. Its totient is φ = 539235840.

The previous prime is 1352435417. The next prime is 1352435473. The reversal of 1352435440 is 445342531.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 52045.

Almost surely, 21352435440 is an apocalyptic number.

1352435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352435440 is an abundant number, since it is smaller than the sum of its proper divisors (1802081408).

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

1352435440 is a wasteful number, since it uses less digits than its factorization.

1352435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54337 (or 54331 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 1352435440 is about 36775.4733484152. The cubic root of 1352435440 is about 1105.8736605314.

Adding to 1352435440 its reverse (445342531), we get a palindrome (1797777971).

The spelling of 1352435440 in words is "one billion, three hundred fifty-two million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 54011 108022 216044 270055 432088 540110 864176 1080220 2160440 4320880 16905443 33810886 67621772 84527215 135243544 169054430 270487088 338108860 676217720 1352435440