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349920 = 25375
BaseRepresentation
bin1010101011011100000
3122210000000
41111123200
542144140
611300000
72655114
oct1253340
9583000
10349920
1121999a
1214a600
13c336c
1491744
156da30
hex556e0

349920 has 96 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 93312.

The previous prime is 349919. The next prime is 349927. The reversal of 349920 is 29943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 90 × 54 × 72.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349920.

It is not an unprimeable number, because it can be changed into a prime (349927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69982 + ... + 69986.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

349920 is a Friedman number, since it can be written as 4320*9*9, using all its digits and the basic arithmetic operations.

2349920 is an apocalyptic number.

349920 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 349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920).

349920 is an abundant number, since it is smaller than the sum of its proper divisors (889920).

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

349920 is an frugal number, since it uses more digits than its factorization.

349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 349920 is about 591.5403621056. The cubic root of 349920 is about 70.4676175410.

The spelling of 349920 in words is "three hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 729 810 864 972 1080 1215 1296 1440 1458 1620 1944 2160 2187 2430 2592 2916 3240 3645 3888 4320 4374 4860 5832 6480 7290 7776 8748 9720 10935 11664 12960 14580 17496 19440 21870 23328 29160 34992 38880 43740 58320 69984 87480 116640 174960 349920