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1057204338 = 232329264169
BaseRepresentation
bin111111000000111…
…010100001110010
32201200022112201020
4333000322201302
54131121014323
6252523320310
735125042251
oct7700724162
92650275636
101057204338
114a28452a3
12256080096
1313b0487c8
14a059c798
1562c30ae3
hex3f03a872

1057204338 has 32 divisors (see below), whose sum is σ = 2282428800. Its totient is φ = 325454976.

The previous prime is 1057204331. The next prime is 1057204339. The reversal of 1057204338 is 8334027501.

1057204338 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 2×10572043382 = 2235362024572036488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057204299 and 1057204308.

It is not an unprimeable number, because it can be changed into a prime (1057204331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128083 + ... + 136086.

It is an arithmetic number, because the mean of its divisors is an integer number (71325900).

Almost surely, 21057204338 is an apocalyptic number.

1057204338 is an abundant number, since it is smaller than the sum of its proper divisors (1225224462).

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

1057204338 is a wasteful number, since it uses less digits than its factorization.

1057204338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264226.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1057204338 is about 32514.6788081937. The cubic root of 1057204338 is about 1018.7156518310.

The spelling of 1057204338 in words is "one billion, fifty-seven million, two hundred four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 667 1334 2001 4002 264169 528338 792507 1585014 6075887 7660901 12151774 15321802 18227661 22982703 36455322 45965406 176200723 352401446 528602169 1057204338