Search a number
-
+
340120000 = 265411773
BaseRepresentation
bin10100010001011…
…101000111000000
3212200222212221001
4110101131013000
51144032320000
653425541344
711266654333
oct2421350700
9780885831
10340120000
11164a97210
1295aa4854
135560714c
143325861a
151ecd646a
hex1445d1c0

340120000 has 140 divisors (see below), whose sum is σ = 921248856. Its totient is φ = 123520000.

The previous prime is 340119991. The next prime is 340120013. The reversal of 340120000 is 21043.

It is a super-2 number, since 2×3401200002 = 231363228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 439614 + ... + 440386.

Almost surely, 2340120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460624428).

340120000 is an abundant number, since it is smaller than the sum of its proper divisors (581128856).

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

340120000 is an equidigital number, since it uses as much as digits as its factorization.

340120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 340120000 is about 18442.3425843899. The cubic root of 340120000 is about 698.0353071743.

Adding to 340120000 its reverse (21043), we get a palindrome (340141043).

The spelling of 340120000 in words is "three hundred forty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 773 800 880 1000 1100 1250 1375 1546 1600 1760 2000 2200 2500 2750 3092 3520 3865 4000 4400 5000 5500 6184 6875 7730 8000 8503 8800 10000 11000 12368 13750 15460 17006 17600 19325 20000 22000 24736 27500 30920 34012 38650 40000 42515 44000 49472 55000 61840 68024 77300 85030 88000 96625 110000 123680 136048 154600 170060 193250 212575 220000 247360 272096 309200 340120 386500 425150 440000 483125 544192 618400 680240 773000 850300 966250 1062875 1236800 1360480 1546000 1700600 1932500 2125750 2720960 3092000 3401200 3865000 4251500 5314375 6184000 6802400 7730000 8503000 10628750 13604800 15460000 17006000 21257500 30920000 34012000 42515000 68024000 85030000 170060000 340120000