Search a number
-
+
1123345240 = 23579834283
BaseRepresentation
bin100001011110100…
…1110001101011000
32220021202211222021
41002331032031120
54300034021430
6303245104224
736560164003
oct10275161530
92807684867
101123345240
1152710a9a6
12274258074
1314b965934
14a929853a
156894807a
hex42f4e358

1123345240 has 64 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 438202752.

The previous prime is 1123345217. The next prime is 1123345241. The reversal of 1123345240 is 425433211.

It is a super-3 number, since 3×11233452403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123345241) 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, 260139 + ... + 264421.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 21123345240 is an apocalyptic number.

1123345240 is a gapful number since it is divisible by the number (10) 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 1123345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

1123345240 is an abundant number, since it is smaller than the sum of its proper divisors (1467617960).

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

1123345240 is a wasteful number, since it uses less digits than its factorization.

1123345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1123345240 is about 33516.3428792582. The cubic root of 1123345240 is about 1039.5317295235.

Adding to 1123345240 its reverse (425433211), we get a palindrome (1548778451).

The spelling of 1123345240 in words is "one billion, one hundred twenty-three million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 83 158 166 316 332 395 415 632 664 790 830 1580 1660 3160 3320 4283 6557 8566 13114 17132 21415 26228 32785 34264 42830 52456 65570 85660 131140 171320 262280 338357 355489 676714 710978 1353428 1421956 1691785 1777445 2706856 2843912 3383570 3554890 6767140 7109780 13534280 14219560 28083631 56167262 112334524 140418155 224669048 280836310 561672620 1123345240