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1053352332 = 2232732771447
BaseRepresentation
bin111110110010001…
…110000110001100
32201102001211202100
4332302032012030
54124124233312
6252304555100
735050230024
oct7662160614
92642054670
101053352332
114a065421a
12254922a90
1313a2ca406
149dc78a84
156271e5dc
hex3ec8e18c

1053352332 has 72 divisors (see below), whose sum is σ = 2710731296. Its totient is φ = 344818944.

The previous prime is 1053352303. The next prime is 1053352337. The reversal of 1053352332 is 2332533501.

1053352332 is a `hidden beast` number, since 105 + 3 + 3 + 523 + 32 = 666.

1053352332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10533523322 = 2219102270659676448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053352296 and 1053352305.

It is not an unprimeable number, because it can be changed into a prime (1053352337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727233 + ... + 728679.

Almost surely, 21053352332 is an apocalyptic number.

1053352332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053352332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355365648).

1053352332 is an abundant number, since it is smaller than the sum of its proper divisors (1657378964).

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

1053352332 is a wasteful number, since it uses less digits than its factorization.

1053352332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1053352332 is about 32455.3898759513. The cubic root of 1053352332 is about 1017.4768896062.

Adding to 1053352332 its reverse (2332533501), we get a palindrome (3385885833).

The spelling of 1053352332 in words is "one billion, fifty-three million, three hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 277 292 438 554 657 831 876 1108 1314 1447 1662 2493 2628 2894 3324 4341 4986 5788 8682 9972 13023 17364 20221 26046 40442 52092 60663 80884 105631 121326 181989 211262 242652 316893 363978 400819 422524 633786 727956 801638 950679 1202457 1267572 1603276 1901358 2404914 3607371 3802716 4809828 7214742 14429484 29259787 58519574 87779361 117039148 175558722 263338083 351117444 526676166 1053352332