Search a number
-
+
687418434 = 233232931889
BaseRepresentation
bin101000111110010…
…010110001000010
31202220111110211000
4220332102301002
52401434342214
6152113432430
723014650243
oct5076226102
91686443730
10687418434
1132303670a
1217226b716
13ac555791
1467420cca
1540539809
hex28f92c42

687418434 has 64 divisors (see below), whose sum is σ = 1600300800. Its totient is φ = 218313216.

The previous prime is 687418429. The next prime is 687418447. The reversal of 687418434 is 434814786.

It is a self number, because there is not a number n which added to its sum of digits gives 687418434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362962 + ... + 364850.

It is an arithmetic number, because the mean of its divisors is an integer number (25004700).

Almost surely, 2687418434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687418434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800150400).

687418434 is an abundant number, since it is smaller than the sum of its proper divisors (912882366).

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

687418434 is a wasteful number, since it uses less digits than its factorization.

687418434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 687418434 is about 26218.6657555262. The cubic root of 687418434 is about 882.5521786459.

The spelling of 687418434 in words is "six hundred eighty-seven million, four hundred eighteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 293 414 586 621 879 1242 1758 1889 2637 3778 5274 5667 6739 7911 11334 13478 15822 17001 20217 34002 40434 43447 51003 60651 86894 102006 121302 130341 181953 260682 363906 391023 553477 782046 1106954 1173069 1660431 2346138 3320862 4981293 9962586 12729971 14943879 25459942 29887758 38189913 76379826 114569739 229139478 343709217 687418434