Search a number
-
+
345524340 = 223577111587
BaseRepresentation
bin10100100110000…
…100100001110100
3220002011110021210
4110212010201310
51201423234330
654141441420
711363623410
oct2446044164
9802143253
10345524340
11168048607
1297870270
1356779c95
1433c63d40
15205028b0
hex14984874

345524340 has 96 divisors (see below), whose sum is σ = 1121347584. Its totient is φ = 77857920.

The previous prime is 345524279. The next prime is 345524353. The reversal of 345524340 is 43425543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345524298 and 345524307.

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 31 ways as a sum of consecutive naturals, for example, 24027 + ... + 35613.

It is an arithmetic number, because the mean of its divisors is an integer number (11680704).

Almost surely, 2345524340 is an apocalyptic number.

345524340 is a gapful number since it is divisible by the number (30) 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 345524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560673792).

345524340 is an abundant number, since it is smaller than the sum of its proper divisors (775823244).

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

345524340 is a wasteful number, since it uses less digits than its factorization.

345524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 345524340 is about 18588.2850204100. The cubic root of 345524340 is about 701.7130425118.

Adding to 345524340 its reverse (43425543), we get a palindrome (388949883).

The spelling of 345524340 in words is "three hundred forty-five million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 11587 14910 23174 29820 34761 46348 57935 69522 81109 115870 139044 162218 173805 231740 243327 324436 347610 405545 486654 695220 811090 822677 973308 1216635 1622180 1645354 2433270 2468031 3290708 4113385 4866540 4936062 5758739 8226770 9872124 11517478 12340155 16453540 17276217 23034956 24680310 28793695 34552434 49360620 57587390 69104868 86381085 115174780 172762170 345524340