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3311114640 = 2435137100703
BaseRepresentation
bin1100010101011011…
…1001100110010000
322112202110001101120
43011112321212100
523240121132030
61304320402240
7145024003311
oct30526714620
98482401346
103311114640
11144a046489
12784a76380
13409ca4342
14235a70608
15145a4b010
hexc55b9990

3311114640 has 80 divisors (see below), whose sum is σ = 10339481088. Its totient is φ = 876510208.

The previous prime is 3311114621. The next prime is 3311114647. The reversal of 3311114640 is 464111133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3311114640.

It is not an unprimeable number, because it can be changed into a prime (3311114647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17472 + ... + 83231.

Almost surely, 23311114640 is an apocalyptic number.

3311114640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169740544).

3311114640 is an abundant number, since it is smaller than the sum of its proper divisors (7028366448).

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

3311114640 is a wasteful number, since it uses less digits than its factorization.

3311114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100856 (or 100850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3311114640 is about 57542.2856688888. The cubic root of 3311114640 is about 1490.4751483745.

Adding to 3311114640 its reverse (464111133), we get a palindrome (3775225773).

The spelling of 3311114640 in words is "three billion, three hundred eleven million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 100703 201406 302109 402812 503515 604218 805624 1007030 1208436 1510545 1611248 2014060 2416872 3021090 4028120 4833744 6042180 8056240 12084360 13796311 24168720 27592622 41388933 55185244 68981555 82777866 110370488 137963110 165555732 206944665 220740976 275926220 331111464 413889330 551852440 662222928 827778660 1103704880 1655557320 3311114640