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2343400422 = 231131236947
BaseRepresentation
bin1000101110101101…
…0111001111100110
320001022112002001020
42023223113033212
514244402303142
61024311112010
7112033401126
oct21353271746
96038462036
102343400422
11aa2874470
12554972606
132b465c68c
14183328c86
15daae5cec
hex8bad73e6

2343400422 has 48 divisors (see below), whose sum is σ = 5283268416. Its totient is φ = 687195600.

The previous prime is 2343400421. The next prime is 2343400489. The reversal of 2343400422 is 2240043432.

It is a junction number, because it is equal to n+sod(n) for n = 2343400392 and 2343400401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44953 + ... + 81899.

It is an arithmetic number, because the mean of its divisors is an integer number (110068092).

Almost surely, 22343400422 is an apocalyptic number.

2343400422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343400422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641634208).

2343400422 is an abundant number, since it is smaller than the sum of its proper divisors (2939867994).

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

2343400422 is a wasteful number, since it uses less digits than its factorization.

2343400422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37025 (or 36994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2343400422 is about 48408.6812668967. The cubic root of 2343400422 is about 1328.2571669399.

Adding to 2343400422 its reverse (2240043432), we get a palindrome (4583443854).

The spelling of 2343400422 in words is "two billion, three hundred forty-three million, four hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 961 1023 1922 2046 2883 5766 10571 21142 31713 36947 63426 73894 110841 221682 406417 812834 1145357 1219251 2290714 2438502 3436071 6872142 12598927 25197854 35506067 37796781 71012134 75593562 106518201 213036402 390566737 781133474 1171700211 2343400422