Search a number
-
+
2340023431400 = 235217968395701
BaseRepresentation
bin100010000011010100010…
…000111111000011101000
322021201000020220212001022
4202003110100333003220
5301314331444301100
64550554131112012
7331026650661344
oct42032420770350
98251006825038
102340023431400
1182244224a516
12319619142608
1313c88125a765
148138733c624
1540d09250e85
hex220d443f0e8

2340023431400 has 96 divisors (see below), whose sum is σ = 5479016061600. Its totient is φ = 929407776000.

The previous prime is 2340023431313. The next prime is 2340023431423. The reversal of 2340023431400 is 41343200432.

It is a self number, because there is not a number n which added to its sum of digits gives 2340023431400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24403550 + ... + 24499250.

It is an arithmetic number, because the mean of its divisors is an integer number (57073083975).

Almost surely, 22340023431400 is an apocalyptic number.

2340023431400 is a gapful number since it is divisible by the number (20) 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 2340023431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739508030800).

2340023431400 is an abundant number, since it is smaller than the sum of its proper divisors (3138992630200).

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

2340023431400 is a wasteful number, since it uses less digits than its factorization.

2340023431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96579 (or 96570 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2340023431400 its reverse (41343200432), we get a palindrome (2381366631832).

The spelling of 2340023431400 in words is "two trillion, three hundred forty billion, twenty-three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 683 716 895 1366 1432 1790 2732 3415 3580 4475 5464 6830 7160 8950 13660 17075 17900 27320 34150 35800 68300 95701 122257 136600 191402 244514 382804 478505 489028 611285 765608 957010 978056 1222570 1914020 2392525 2445140 3056425 3828040 4785050 4890280 6112850 9570100 12225700 17130479 19140200 24451400 34260958 65363783 68521916 85652395 130727566 137043832 171304790 261455132 326818915 342609580 428261975 522910264 653637830 685219160 856523950 1307275660 1634094575 1713047900 2614551320 3268189150 3426095800 6536378300 11700117157 13072756600 23400234314 46800468628 58500585785 93600937256 117001171570 234002343140 292502928925 468004686280 585005857850 1170011715700 2340023431400