Search a number
-
+
3112423040 = 2757961559
BaseRepresentation
bin1011100110000011…
…1100111010000000
322000220120110202102
42321200330322000
522333240014130
61232502005532
7140062105436
oct27140747200
98026513672
103112423040
111357977551
1272a4168a8
133a7a8774c
1421750cd56
1513339e645
hexb983ce80

3112423040 has 64 divisors (see below), whose sum is σ = 7534944000. Its totient is φ = 1229190144.

The previous prime is 3112423021. The next prime is 3112423063. The reversal of 3112423040 is 403242113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19781 + ... + 81339.

It is an arithmetic number, because the mean of its divisors is an integer number (117733500).

Almost surely, 23112423040 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 3112423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767472000).

3112423040 is an abundant number, since it is smaller than the sum of its proper divisors (4422520960).

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

3112423040 is an equidigital number, since it uses as much as digits as its factorization.

3112423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61657 (or 61645 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3112423040 is about 55789.0942747774. The cubic root of 3112423040 is about 1460.0448850903.

Adding to 3112423040 its reverse (403242113), we get a palindrome (3515665153).

The spelling of 3112423040 in words is "three billion, one hundred twelve million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 3160 5056 6320 10112 12640 25280 50560 61559 123118 246236 307795 492472 615590 984944 1231180 1969888 2462360 3939776 4863161 4924720 7879552 9726322 9849440 19452644 19698880 24315805 38905288 39397760 48631610 77810576 97263220 155621152 194526440 311242304 389052880 622484608 778105760 1556211520 3112423040