Search a number
-
+
340307418 = 2311343991
BaseRepresentation
bin10100010010001…
…010110111011010
3212201100102000110
4110102022313122
51144104314133
653433545150
711301364623
oct2422126732
9781312013
10340307418
11165105000
1295b751b6
1355671549
14332a6a4a
151ed21c63
hex1448adda

340307418 has 64 divisors (see below), whose sum is σ = 766808064. Its totient is φ = 100623600.

The previous prime is 340307417. The next prime is 340307419. The reversal of 340307418 is 814703043.

It is an interprime number because it is at equal distance from previous prime (340307417) and next prime (340307419).

It is not an unprimeable number, because it can be changed into a prime (340307413) 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, 342903 + ... + 343893.

It is an arithmetic number, because the mean of its divisors is an integer number (11981376).

Almost surely, 2340307418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340307418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383404032).

340307418 is an abundant number, since it is smaller than the sum of its proper divisors (426500646).

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

340307418 is a wasteful number, since it uses less digits than its factorization.

340307418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 340307418 is about 18447.4230720716. The cubic root of 340307418 is about 698.1634975766.

It can be divided in two parts, 340307 and 418, that added together give a triangular number (340725 = T825).

The spelling of 340307418 in words is "three hundred forty million, three hundred seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 242 258 363 473 726 946 991 1331 1419 1982 2662 2838 2973 3993 5203 5946 7986 10406 10901 15609 21802 31218 32703 42613 57233 65406 85226 114466 119911 127839 171699 239822 255678 343398 359733 468743 719466 937486 1319021 1406229 2638042 2812458 3957063 5156173 7914126 10312346 15468519 30937038 56717903 113435806 170153709 340307418