Search a number
-
+
1234114002 = 2331113914947
BaseRepresentation
bin100100110001111…
…0001010111010010
310012000012111011000
41021203301113102
510011413122002
6322243202430
742403540002
oct11143612722
93160174130
101234114002
11583697130
122a5376416
131688a9b94
14b9c90002
157352861c
hex498f15d2

1234114002 has 64 divisors (see below), whose sum is σ = 3013516800. Its totient is φ = 371258640.

The previous prime is 1234114001. The next prime is 1234114003. The reversal of 1234114002 is 2004114321.

It is an interprime number because it is at equal distance from previous prime (1234114001) and next prime (1234114003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1234114001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75093 + ... + 90039.

It is an arithmetic number, because the mean of its divisors is an integer number (47086200).

Almost surely, 21234114002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506758400).

1234114002 is an abundant number, since it is smaller than the sum of its proper divisors (1779402798).

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

1234114002 is a wasteful number, since it uses less digits than its factorization.

1234114002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15108 (or 15102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1234114002 is about 35129.9587531782. The cubic root of 1234114002 is about 1072.6344963120.

Adding to 1234114002 its reverse (2004114321), we get a palindrome (3238228323).

The spelling of 1234114002 in words is "one billion, two hundred thirty-four million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 139 198 278 297 417 594 834 1251 1529 2502 3058 3753 4587 7506 9174 13761 14947 27522 29894 41283 44841 82566 89682 134523 164417 269046 328834 403569 493251 807138 986502 1479753 2077633 2959506 4155266 4439259 6232899 8878518 12465798 18698697 22853963 37397394 45707926 56096091 68561889 112192182 137123778 205685667 411371334 617057001 1234114002