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3412436643 = 327119535167
BaseRepresentation
bin1100101101100101…
…1010011010100011
322210211002202001100
43023121122122203
523442040433033
61322340205443
7150364142610
oct31331323243
98724082040
103412436643
1114a1260180
127b2999883
13424c8b7a5
142452c7507
1514e8b2513
hexcb65a6a3

3412436643 has 48 divisors (see below), whose sum is σ = 6152979456. Its totient is φ = 1770491520.

The previous prime is 3412436633. The next prime is 3412436647. The reversal of 3412436643 is 3466342143.

3412436643 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 3 + 6 + 643 = 666.

It is not a de Polignac number, because 3412436643 - 24 = 3412436627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3412436598 and 3412436607.

It is not an unprimeable number, because it can be changed into a prime (3412436647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 657846 + ... + 663012.

It is an arithmetic number, because the mean of its divisors is an integer number (128187072).

Almost surely, 23412436643 is an apocalyptic number.

3412436643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3412436643 is a deficient number, since it is larger than the sum of its proper divisors (2740542813).

3412436643 is a wasteful number, since it uses less digits than its factorization.

3412436643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6141 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 3412436643 is about 58416.0649393641. The cubic root of 3412436643 is about 1505.5257881140.

Adding to 3412436643 its reverse (3466342143), we get a palindrome (6878778786).

The spelling of 3412436643 in words is "three billion, four hundred twelve million, four hundred thirty-six thousand, six hundred forty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 953 2859 5167 6671 8577 10483 15501 20013 31449 36169 46503 56837 60039 73381 94347 108507 170511 220143 325521 397859 511533 660429 1193577 3580731 4924151 14772453 34469057 44317359 54165661 103407171 162496983 310221513 379159627 487490949 1137478881 3412436643