Search a number
-
+
345237336 = 2333532569
BaseRepresentation
bin10100100100111…
…110011101011000
3220001121212121000
4110210332131120
51201340043321
654131345000
711361316563
oct2444763530
9801555530
10345237336
11167971a14
1297752160
13566a9462
1433bcb4da
1520497826
hex1493e758

345237336 has 96 divisors (see below), whose sum is σ = 979146000. Its totient is φ = 112709376.

The previous prime is 345237331. The next prime is 345237401. The reversal of 345237336 is 633732543.

345237336 is a `hidden beast` number, since 34 + 523 + 73 + 36 = 666.

345237336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 345237336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345237331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606460 + ... + 607028.

Almost surely, 2345237336 is an apocalyptic number.

345237336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345237336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489573000).

345237336 is an abundant number, since it is smaller than the sum of its proper divisors (633908664).

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

345237336 is a wasteful number, since it uses less digits than its factorization.

345237336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 627 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 345237336 is about 18580.5633929652. The cubic root of 345237336 is about 701.5186999681.

Adding to 345237336 its reverse (633732543), we get a palindrome (978969879).

The spelling of 345237336 in words is "three hundred forty-five million, two hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 569 636 954 1138 1272 1431 1707 1908 2276 2809 2862 3414 3816 4552 5121 5618 5724 6828 8427 10242 11236 11448 13656 15363 16854 20484 22472 25281 30157 30726 33708 40968 50562 60314 61452 67416 75843 90471 101124 120628 122904 151686 180942 202248 241256 271413 303372 361884 542826 606744 723768 814239 1085652 1598321 1628478 2171304 3196642 3256956 4794963 6393284 6513912 9589926 12786568 14384889 19179852 28769778 38359704 43154667 57539556 86309334 115079112 172618668 345237336