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3314445640 = 2351147831931
BaseRepresentation
bin1100010110001110…
…0110110101001000
322112222201021122221
43011203212311020
523241444230030
61304520023424
7145064215552
oct30543466510
98488637587
103314445640
111450a11080
12786001b74
1340a89c54c
1423629a4d2
15145ea7e7a
hexc58e6d48

3314445640 has 128 divisors (see below), whose sum is σ = 8413009920. Its totient is φ = 1164793600.

The previous prime is 3314445637. The next prime is 3314445649. The reversal of 3314445640 is 465444133.

It is a junction number, because it is equal to n+sod(n) for n = 3314445596 and 3314445605.

It is not an unprimeable number, because it can be changed into a prime (3314445649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715475 + ... + 1717405.

It is an arithmetic number, because the mean of its divisors is an integer number (65726640).

Almost surely, 23314445640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206504960).

3314445640 is an abundant number, since it is smaller than the sum of its proper divisors (5098564280).

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

3314445640 is a wasteful number, since it uses less digits than its factorization.

3314445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 3314445640 is about 57571.2223250471. Note that the first 3 decimals coincide. The cubic root of 3314445640 is about 1490.9747896661.

Adding to 3314445640 its reverse (465444133), we get a palindrome (3779889773).

The spelling of 3314445640 in words is "three billion, three hundred fourteen million, four hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 83 88 94 110 166 188 220 235 332 376 415 440 470 517 664 830 913 940 1034 1660 1826 1880 1931 2068 2585 3320 3652 3862 3901 4136 4565 5170 7304 7724 7802 9130 9655 10340 15448 15604 18260 19310 19505 20680 21241 31208 36520 38620 39010 42482 42911 77240 78020 84964 85822 90757 106205 156040 160273 169928 171644 181514 212410 214555 320546 343288 363028 424820 429110 453785 641092 726056 801365 849640 858220 907570 998327 1282184 1602730 1716440 1763003 1815140 1996654 3205460 3526006 3630280 3993308 4991635 6410920 7052012 7532831 7986616 8815015 9983270 14104024 15065662 17630030 19966540 30131324 35260060 37664155 39933080 60262648 70520120 75328310 82861141 150656620 165722282 301313240 331444564 414305705 662889128 828611410 1657222820 3314445640