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1355344032 = 25372016881
BaseRepresentation
bin101000011001000…
…1110100010100000
310111110022121111010
41100302032202200
510233432002112
6342253420520
745405143220
oct12062164240
93443277433
101355344032
11636069039
12319a9a740
13187a44923
14cc00a080
157dec363c
hex50c8e8a0

1355344032 has 48 divisors (see below), whose sum is σ = 4066034112. Its totient is φ = 387240960.

The previous prime is 1355344031. The next prime is 1355344079. The reversal of 1355344032 is 2304435531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1355344031) 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 7 ways as a sum of consecutive naturals, for example, 1007769 + ... + 1009112.

It is an arithmetic number, because the mean of its divisors is an integer number (84709044).

Almost surely, 21355344032 is an apocalyptic number.

1355344032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355344032 is an abundant number, since it is smaller than the sum of its proper divisors (2710690080).

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

1355344032 is a wasteful number, since it uses less digits than its factorization.

1355344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016901 (or 2016893 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1355344032 is about 36814.9973787857. The cubic root of 1355344032 is about 1106.6658689370.

Adding to 1355344032 its reverse (2304435531), we get a palindrome (3659779563).

The spelling of 1355344032 in words is "one billion, three hundred fifty-five million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2016881 4033762 6050643 8067524 12101286 14118167 16135048 24202572 28236334 32270096 42354501 48405144 56472668 64540192 84709002 96810288 112945336 169418004 193620576 225890672 338836008 451781344 677672016 1355344032