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4340301042 = 23711171992777
BaseRepresentation
bin1000000101011001…
…11011110011110010
3102012111001010201110
410002230323303302
532342104113132
61554403414150
7212361643620
oct40254736362
912174033643
104340301042
111927a94460
12a11684356
1354229008c
142d2618510
151a60951cc
hex102b3bcf2

4340301042 has 128 divisors (see below), whose sum is σ = 11520921600. Its totient is φ = 1055324160.

The previous prime is 4340301011. The next prime is 4340301107. The reversal of 4340301042 is 2401030434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 1561558 + ... + 1564334.

It is an arithmetic number, because the mean of its divisors is an integer number (90007200).

Almost surely, 24340301042 is an apocalyptic number.

4340301042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340301042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760460800).

4340301042 is an abundant number, since it is smaller than the sum of its proper divisors (7180620558).

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

4340301042 is a wasteful number, since it uses less digits than its factorization.

4340301042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4340301042 is about 65880.9611496372. The cubic root of 4340301042 is about 1631.1977649250.

Adding to 4340301042 its reverse (2401030434), we get a palindrome (6741331476).

The spelling of 4340301042 in words is "four billion, three hundred forty million, three hundred one thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 199 231 238 357 374 398 462 561 597 714 1122 1194 1309 1393 2189 2618 2777 2786 3383 3927 4179 4378 5554 6567 6766 7854 8331 8358 10149 13134 15323 16662 19439 20298 23681 30547 30646 37213 38878 45969 47209 47362 58317 61094 71043 74426 91641 91938 94418 111639 116634 141627 142086 183282 213829 223278 260491 283254 330463 427658 519299 520982 552623 641487 660926 781473 991389 1038598 1105246 1282974 1557897 1562946 1657869 1982778 3115794 3315738 3635093 3868361 6078853 7270186 7736722 9394591 10905279 11605083 12157706 18236559 18789182 21810558 23210166 28183773 36473118 42551971 56367546 65762137 85103942 103340501 127655913 131524274 197286411 206681002 255311826 310021503 394572822 620043006 723383507 1446767014 2170150521 4340301042