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1353666040 = 23597348883
BaseRepresentation
bin101000010101111…
…0100110111111000
310111100011100201021
41100223310313320
510233014303130
6342153432224
745354654136
oct12053646770
93440140637
101353666040
11635122371
1231940b674
131875a7c2c
14cbad0756
157dc9137a
hex50af4df8

1353666040 has 32 divisors (see below), whose sum is σ = 3077156880. Its totient is φ = 535882752.

The previous prime is 1353666023. The next prime is 1353666071. The reversal of 1353666040 is 406663531.

It is a junction number, because it is equal to n+sod(n) for n = 1353665987 and 1353666005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170562 + ... + 178321.

Almost surely, 21353666040 is an apocalyptic number.

1353666040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353666040 is an abundant number, since it is smaller than the sum of its proper divisors (1723490840).

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

1353666040 is a wasteful number, since it uses less digits than its factorization.

1353666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348991 (or 348987 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 1353666040 is about 36792.2008039747. The cubic root of 1353666040 is about 1106.2089755074.

The spelling of 1353666040 in words is "one billion, three hundred fifty-three million, six hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 348883 697766 1395532 1744415 2791064 3488830 6977660 13955320 33841651 67683302 135366604 169208255 270733208 338416510 676833020 1353666040