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3101940 = 2232519907
BaseRepresentation
bin1011110101010011110100
312211121001200
423311103310
51243230230
6150252500
735236362
oct13652364
95747050
103101940
111829596
121057130
13847b8a
145aa632
15414160
hex2f54f4

3101940 has 72 divisors (see below), whose sum is σ = 9915360. Its totient is φ = 782784.

The previous prime is 3101897. The next prime is 3101947. The reversal of 3101940 is 491013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967 + ... + 3873.

Almost surely, 23101940 is an apocalyptic number.

3101940 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 3101940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957680).

3101940 is an abundant number, since it is smaller than the sum of its proper divisors (6813420).

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

3101940 is a wasteful number, since it uses less digits than its factorization.

3101940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3101940 is about 1761.2325229793. The cubic root of 3101940 is about 145.8403835140.

Adding to 3101940 its reverse (491013), we get a palindrome (3592953).

The spelling of 3101940 in words is "three million, one hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 907 1140 1710 1814 2721 3420 3628 4535 5442 8163 9070 10884 13605 16326 17233 18140 27210 32652 34466 40815 51699 54420 68932 81630 86165 103398 155097 163260 172330 206796 258495 310194 344660 516990 620388 775485 1033980 1550970 3101940