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3413144343 = 37241836823
BaseRepresentation
bin1100101101110000…
…0111001100010111
322210212102200211110
43023130013030113
523442231104333
61322403310103
7150403151100
oct31334071427
98725380743
103413144343
1114a16a3954
127b307b333
1342517894b
1424542d3a7
1514e9a2063
hexcb707317

3413144343 has 48 divisors (see below), whose sum is σ = 5489116416. Its totient is φ = 1879597440.

The previous prime is 3413144327. The next prime is 3413144353. The reversal of 3413144343 is 3434413143.

It is not a de Polignac number, because 3413144343 - 24 = 3413144327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3413144343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413144353) 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, 496830 + ... + 503652.

It is an arithmetic number, because the mean of its divisors is an integer number (114356592).

Almost surely, 23413144343 is an apocalyptic number.

3413144343 is a deficient number, since it is larger than the sum of its proper divisors (2075972073).

3413144343 is a wasteful number, since it uses less digits than its factorization.

3413144343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6957 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 3413144343 is about 58422.1220343801. The cubic root of 3413144343 is about 1505.6298571479.

Adding to 3413144343 its reverse (3434413143), we get a palindrome (6847557486).

The spelling of 3413144343 in words is "three billion, four hundred thirteen million, one hundred forty-four thousand, three hundred forty-three".

Divisors: 1 3 7 21 41 49 83 123 147 249 287 581 861 1743 2009 3403 4067 6027 6823 10209 12201 20469 23821 47761 71463 143283 166747 279743 334327 500241 566309 839229 1002981 1698927 1958201 3964163 5874603 11892489 13707407 23218669 27749141 41122221 69656007 83247423 162530683 487592049 1137714781 3413144343