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1234010320 = 24529531901
BaseRepresentation
bin100100110001101…
…1000000011010000
310012000000012220221
41021203120003100
510011401312240
6322241042424
742402625504
oct11143300320
93160005827
101234010320
11583626244
122a5326414
1316887192a
14b9c64304
1573507a4a
hex498d80d0

1234010320 has 40 divisors (see below), whose sum is σ = 2968013160. Its totient is φ = 476582400.

The previous prime is 1234010303. The next prime is 1234010341. The reversal of 1234010320 is 230104321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1157776 + 1232852544 = 1076^2 + 35112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1234010294 and 1234010303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263631 + ... + 268270.

It is an arithmetic number, because the mean of its divisors is an integer number (74200329).

Almost surely, 21234010320 is an apocalyptic number.

1234010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234010320 is an abundant number, since it is smaller than the sum of its proper divisors (1734002840).

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

1234010320 is a wasteful number, since it uses less digits than its factorization.

1234010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531943 (or 531937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1234010320 is about 35128.4830301566. The cubic root of 1234010320 is about 1072.6044569466.

Adding to 1234010320 its reverse (230104321), we get a palindrome (1464114641).

The spelling of 1234010320 in words is "one billion, two hundred thirty-four million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 531901 1063802 2127604 2659505 4255208 5319010 8510416 10638020 15425129 21276040 30850258 42552080 61700516 77125645 123401032 154251290 246802064 308502580 617005160 1234010320