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3813434339 = 11131723241283
BaseRepresentation
bin1110001101001100…
…0110001111100011
3100211202122112110212
43203103012033203
530302214344324
61430223044335
7163333441241
oct34323061743
910752575425
103813434339
111687647730
128a51406ab
1348a08c230
1428266b791
15174bc170e
hexe34c63e3

3813434339 has 64 divisors (see below), whose sum is σ = 4988003328. Its totient is φ = 2858803200.

The previous prime is 3813434333. The next prime is 3813434351. The reversal of 3813434339 is 9334343183.

It is not a de Polignac number, because 3813434339 - 216 = 3813368803 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3813434296 and 3813434305.

It is not an unprimeable number, because it can be changed into a prime (3813434333) 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 63 ways as a sum of consecutive naturals, for example, 13474892 + ... + 13475174.

It is an arithmetic number, because the mean of its divisors is an integer number (77937552).

Almost surely, 23813434339 is an apocalyptic number.

3813434339 is a deficient number, since it is larger than the sum of its proper divisors (1174568989).

3813434339 is a wasteful number, since it uses less digits than its factorization.

3813434339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its digits is 279936, while the sum is 41.

The square root of 3813434339 is about 61753.0107687067. The cubic root of 3813434339 is about 1562.3275493857.

The spelling of 3813434339 in words is "three billion, eight hundred thirteen million, four hundred thirty-four thousand, three hundred thirty-nine".

Divisors: 1 11 13 17 23 143 187 221 241 253 283 299 391 2431 2651 3113 3133 3289 3679 4097 4301 4811 5083 5543 6509 34463 40469 45067 52921 53261 55913 60973 62543 68203 71599 72059 84617 94231 110653 585871 687973 750233 792649 886639 930787 1036541 1159451 1217183 1225003 1438489 1568669 9753029 12753961 13475033 15072863 15823379 17255359 20392697 26667373 165801493 224319667 293341103 346675849 3813434339