Search a number
-
+
2311340420 = 22537113131211
BaseRepresentation
bin1000100111000100…
…0100000110000100
312222002012020222202
42021301010012010
514213200343140
61021204014032
7111164032544
oct21161040604
95862166882
102311340420
11a867672a4
12546091318
132aab15b6c
1417cd81324
15d7db1915
hex89c44184

2311340420 has 96 divisors (see below), whose sum is σ = 5091520896. Its totient is φ = 880588800.

The previous prime is 2311340393. The next prime is 2311340431. The reversal of 2311340420 is 240431132.

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

It is a junction number, because it is equal to n+sod(n) for n = 2311340392 and 2311340401.

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, 10954115 + ... + 10954325.

It is an arithmetic number, because the mean of its divisors is an integer number (53036676).

Almost surely, 22311340420 is an apocalyptic number.

2311340420 is a gapful number since it is divisible by the number (20) 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 2311340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545760448).

2311340420 is an abundant number, since it is smaller than the sum of its proper divisors (2780180476).

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

2311340420 is a wasteful number, since it uses less digits than its factorization.

2311340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

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

The square root of 2311340420 is about 48076.4019036367. The cubic root of 2311340420 is about 1322.1720476165.

Adding to 2311340420 its reverse (240431132), we get a palindrome (2551771552).

The spelling of 2311340420 in words is "two billion, three hundred eleven million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 113 131 148 185 211 226 262 370 422 452 524 565 655 740 844 1055 1130 1310 2110 2260 2620 4181 4220 4847 7807 8362 9694 14803 15614 16724 19388 20905 23843 24235 27641 29606 31228 39035 41810 47686 48470 55282 59212 74015 78070 83620 95372 96940 110564 119215 138205 148030 156140 238430 276410 296060 476860 547711 552820 882191 1022717 1095422 1764382 2045434 2190844 2738555 3123433 3528764 4090868 4410955 5113585 5477110 6246866 8821910 10227170 10954220 12493732 15617165 17643820 20454340 31234330 62468660 115567021 231134042 462268084 577835105 1155670210 2311340420