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32413434404 = 22131740139137
BaseRepresentation
bin11110001011111111…
…011100001000100100
310002122221121001222112
4132023333130020210
51012340314400104
622520204220152
72225143434521
oct361377341044
9102587531875
1032413434404
11128235a201a
12634723a658
1330973a58b0
1417d6ba4148
15c9a95586e
hex78bfdc224

32413434404 has 48 divisors (see below), whose sum is σ = 64703400048. Its totient is φ = 14074994688.

The previous prime is 32413434371. The next prime is 32413434409. The reversal of 32413434404 is 40443431423.

It can be written as a sum of positive squares in 8 ways, for example, as 1310584804 + 31102849600 = 36202^2 + 176360^2 .

It is not an unprimeable number, because it can be changed into a prime (32413434409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3542924 + ... + 3552060.

It is an arithmetic number, because the mean of its divisors is an integer number (1347987501).

Almost surely, 232413434404 is an apocalyptic number.

32413434404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32413434404 is a deficient number, since it is larger than the sum of its proper divisors (32289965644).

32413434404 is a wasteful number, since it uses less digits than its factorization.

32413434404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 32413434404 its reverse (40443431423), we get a palindrome (72856865827).

The spelling of 32413434404 in words is "thirty-two billion, four hundred thirteen million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 4013 8026 9137 16052 18274 36548 52169 68221 104338 118781 136442 155329 208676 237562 272884 310658 475124 621316 886873 1773746 2019277 3547492 4038554 8077108 36666781 73333562 146667124 476668153 623335277 953336306 1246670554 1906672612 2493341108 8103358601 16206717202 32413434404