Search a number
-
+
2340442321000 = 2353736823447
BaseRepresentation
bin100010000011101101001…
…110111011000001101000
322021202002110010122112221
4202003231032323001220
5301321211213233000
64551103453243424
7331043225326000
oct42035516730150
98252073118487
102340442321000
11822637747473
12319715493574
1313c919c83c24
14813c6c1d000
1540d30de661a
hex220ed3bb068

2340442321000 has 128 divisors (see below), whose sum is σ = 6386747328000. Its totient is φ = 802437249600.

The previous prime is 2340442320989. The next prime is 2340442321003. The reversal of 2340442321000 is 1232440432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2340442321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068724 + ... + 3754723.

It is an arithmetic number, because the mean of its divisors is an integer number (49896463500).

Almost surely, 22340442321000 is an apocalyptic number.

2340442321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340442321000 is an abundant number, since it is smaller than the sum of its proper divisors (4046305007000).

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

2340442321000 is an equidigital number, since it uses as much as digits as its factorization.

2340442321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823489 (or 6823461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2340442321000 its reverse (1232440432), we get a palindrome (2341674761432).

The spelling of 2340442321000 in words is "two trillion, three hundred forty billion, four hundred forty-two million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 686 700 875 980 1000 1225 1372 1400 1715 1750 1960 2450 2744 3430 3500 4900 6125 6860 7000 8575 9800 12250 13720 17150 24500 34300 42875 49000 68600 85750 171500 343000 6823447 13646894 27293788 34117235 47764129 54587576 68234470 95528258 136468940 170586175 191056516 238820645 272937880 334348903 341172350 382113032 477641290 668697806 682344700 852930875 955282580 1194103225 1337395612 1364689400 1671744515 1705861750 1910565160 2340442321 2388206450 2674791224 3343489030 3411723500 4680884642 4776412900 5970516125 6686978060 6823447000 8358722575 9361769284 9552825800 11702211605 11941032250 13373956120 16717445150 18723538568 23404423210 23882064500 33434890300 41793612875 46808846420 47764129000 58511058025 66869780600 83587225750 93617692840 117022116050 167174451500 234044232100 292555290125 334348903000 468088464200 585110580250 1170221160500 2340442321000