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2331434010 = 235373476053
BaseRepresentation
bin1000101011110110…
…1101110000011010
320000111000010012210
42022331231300122
514233321342020
61023202415550
7111526601463
oct21275556032
96014003183
102331434010
11a97040974
125509615b6
132b202ca69
141818d1d6a
15d9a303e0
hex8af6dc1a

2331434010 has 64 divisors (see below), whose sum is σ = 5764182912. Its totient is φ = 603069696.

The previous prime is 2331433999. The next prime is 2331434011. The reversal of 2331434010 is 104341332.

It is not an unprimeable number, because it can be changed into a prime (2331434011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382144 + ... + 388196.

It is an arithmetic number, because the mean of its divisors is an integer number (90065358).

Almost surely, 22331434010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882091456).

2331434010 is an abundant number, since it is smaller than the sum of its proper divisors (3432748902).

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

2331434010 is a wasteful number, since it uses less digits than its factorization.

2331434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2331434010 is about 48284.9252872985. The cubic root of 2331434010 is about 1325.9924232168.

Adding to 2331434010 its reverse (104341332), we get a palindrome (2435775342).

The spelling of 2331434010 in words is "two billion, three hundred thirty-one million, four hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 347 370 555 694 1041 1110 1735 2082 3470 5205 6053 10410 12106 12839 18159 25678 30265 36318 38517 60530 64195 77034 90795 128390 181590 192585 223961 385170 447922 671883 1119805 1343766 2100391 2239610 3359415 4200782 6301173 6718830 10501955 12602346 21003910 31505865 63011730 77714467 155428934 233143401 388572335 466286802 777144670 1165717005 2331434010