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3101444340 = 2235373494003
BaseRepresentation
bin1011100011011100…
…0100100011110100
322000010220200210220
42320313010203310
522322432204330
61231430414340
7136566561531
oct27067044364
98003820726
103101444340
111351759045
127268013b0
133a5712587
14215c91d88
15132431710
hexb8dc48f4

3101444340 has 96 divisors (see below), whose sum is σ = 8946537600. Its totient is φ = 802192896.

The previous prime is 3101444299. The next prime is 3101444369. The reversal of 3101444340 is 434441013.

3101444340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3101444340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772779 + ... + 776781.

It is an arithmetic number, because the mean of its divisors is an integer number (93193100).

Almost surely, 23101444340 is an apocalyptic number.

3101444340 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 3101444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473268800).

3101444340 is an abundant number, since it is smaller than the sum of its proper divisors (5845093260).

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

3101444340 is a wasteful number, since it uses less digits than its factorization.

3101444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3101444340 is about 55690.6126739507. The cubic root of 3101444340 is about 1458.3261513950.

Adding to 3101444340 its reverse (434441013), we get a palindrome (3535885353).

The spelling of 3101444340 in words is "three billion, one hundred one million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 349 370 444 555 698 740 1047 1110 1396 1745 2094 2220 3490 4003 4188 5235 6980 8006 10470 12009 12913 16012 20015 20940 24018 25826 38739 40030 48036 51652 60045 64565 77478 80060 120090 129130 148111 154956 193695 240180 258260 296222 387390 444333 592444 740555 774780 888666 1397047 1481110 1777332 2221665 2794094 2962220 4191141 4443330 5588188 6985235 8382282 8886660 13970470 16764564 20955705 27940940 41911410 51690739 83822820 103381478 155072217 206762956 258453695 310144434 516907390 620288868 775361085 1033814780 1550722170 3101444340