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340300500 = 22353297823
BaseRepresentation
bin10100010010001…
…001001011010100
3212201100001112020
4110102021023110
51144104104000
653433453140
711301335511
oct2422111324
9781301466
10340300500
111650aa891
1295b711b0
135566b357
14332a4308
151ed1eba0
hex144892d4

340300500 has 96 divisors (see below), whose sum is σ = 1025256960. Its totient is φ = 87606400.

The previous prime is 340300459. The next prime is 340300501. The reversal of 340300500 is 5003043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340300500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340300501) by changing a digit.

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, 39589 + ... + 47411.

It is an arithmetic number, because the mean of its divisors is an integer number (10679760).

Almost surely, 2340300500 is an apocalyptic number.

340300500 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 340300500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512628480).

340300500 is an abundant number, since it is smaller than the sum of its proper divisors (684956460).

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

340300500 is a wasteful number, since it uses less digits than its factorization.

340300500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 340300500 is about 18447.2355652548. The cubic root of 340300500 is about 698.1587666309.

Adding to 340300500 its reverse (5003043), we get a palindrome (345303543).

The spelling of 340300500 in words is "three hundred forty million, three hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 7823 8700 10875 14500 15646 21750 23469 31292 39115 43500 46938 78230 93876 117345 156460 195575 226867 234690 391150 453734 469380 586725 680601 782300 907468 977875 1134335 1173450 1361202 1955750 2268670 2346900 2722404 2933625 3403005 3911500 4537340 5671675 5867250 6806010 11343350 11734500 13612020 17015025 22686700 28358375 34030050 56716750 68060100 85075125 113433500 170150250 340300500