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2321342120 = 235293535669
BaseRepresentation
bin1000101001011100…
…1101111010101000
312222210000101202002
42022113031322220
514223230421440
61022202230132
7111345040166
oct21227157250
95883011662
102321342120
11a91378769
125494b5348
132acc08426
14180426236
15d8bda115
hex8a5cdea8

2321342120 has 64 divisors (see below), whose sum is σ = 5419386000. Its totient is φ = 893820928.

The previous prime is 2321342113. The next prime is 2321342131. The reversal of 2321342120 is 212431232.

2321342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 620109604 + 1701232516 = 24902^2 + 41246^2 .

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 = 2321342092 and 2321342101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406646 + ... + 412314.

Almost surely, 22321342120 is an apocalyptic number.

2321342120 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 2321342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709693000).

2321342120 is an abundant number, since it is smaller than the sum of its proper divisors (3098043880).

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

2321342120 is a wasteful number, since it uses less digits than its factorization.

2321342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6058 counting only the distinct ones).

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

The square root of 2321342120 is about 48180.3084257459. The cubic root of 2321342120 is about 1324.0764172479.

Adding to 2321342120 its reverse (212431232), we get a palindrome (2533773352).

The spelling of 2321342120 in words is "two billion, three hundred twenty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 353 580 706 1160 1412 1765 2824 3530 5669 7060 10237 11338 14120 20474 22676 28345 40948 45352 51185 56690 81896 102370 113380 164401 204740 226760 328802 409480 657604 822005 1315208 1644010 2001157 3288020 4002314 6576040 8004628 10005785 16009256 20011570 40023140 58033553 80046280 116067106 232134212 290167765 464268424 580335530 1160671060 2321342120