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3113964 = 223471373
BaseRepresentation
bin1011111000001111101100
312212012120000
423320033230
51244121324
6150424300
735316420
oct13701754
95765500
103113964
111837627
121062090
138504a9
145b0b80
154179c9
hex2f83ec

3113964 has 60 divisors (see below), whose sum is σ = 9310224. Its totient is φ = 889056.

The previous prime is 3113963. The next prime is 3113969. The reversal of 3113964 is 4693113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3113963) 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 19 ways as a sum of consecutive naturals, for example, 1582 + ... + 2954.

Almost surely, 23113964 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 3113964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655112).

3113964 is an abundant number, since it is smaller than the sum of its proper divisors (6196260).

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

3113964 is a wasteful number, since it uses less digits than its factorization.

3113964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3113964 is about 1764.6427400468. The cubic root of 3113964 is about 146.0285801309.

The spelling of 3113964 in words is "three million, one hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1373 2268 2746 4119 5492 8238 9611 12357 16476 19222 24714 28833 37071 38444 49428 57666 74142 86499 111213 115332 148284 172998 222426 259497 345996 444852 518994 778491 1037988 1556982 3113964