Search a number
-
+
345087336 = 233113473767
BaseRepresentation
bin10100100100011…
…001110101101000
3220001100020211110
4110210121311220
51201320243321
654124230320
711360123346
oct2444316550
9801306743
10345087336
1116787a250
129769b3a0
13566560b9
1433b8c996
1520468176
hex14919d68

345087336 has 64 divisors (see below), whose sum is σ = 944110080. Its totient is φ = 104242880.

The previous prime is 345087313. The next prime is 345087343. The reversal of 345087336 is 633780543.

It is a junction number, because it is equal to n+sod(n) for n = 345087294 and 345087303.

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 15 ways as a sum of consecutive naturals, for example, 89725 + ... + 93491.

It is an arithmetic number, because the mean of its divisors is an integer number (14751720).

Almost surely, 2345087336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345087336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472055040).

345087336 is an abundant number, since it is smaller than the sum of its proper divisors (599022744).

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

345087336 is a wasteful number, since it uses less digits than its factorization.

345087336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 345087336 is about 18576.5264783274. The cubic root of 345087336 is about 701.4170857666.

The spelling of 345087336 in words is "three hundred forty-five million, eighty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 347 694 1041 1388 2082 2776 3767 3817 4164 7534 7634 8328 11301 11451 15068 15268 22602 22902 30136 30536 41437 45204 45804 82874 90408 91608 124311 165748 248622 331496 497244 994488 1307149 2614298 3921447 5228596 7842894 10457192 14378639 15685788 28757278 31371576 43135917 57514556 86271834 115029112 172543668 345087336