Search a number
-
+
3412210400300 = 2252138929491879
BaseRepresentation
bin110001101001110111100…
…101101011110000101100
3110002012111210212020202002
4301221313211223300230
5421401201330302200
611131314154551432
7501344516563562
oct61516745536054
913065453766662
103412210400300
1110a61238a6599
12471386438578
131b9a01a8bb80
14bb21aa05a32
155db5d0bdbd5
hex31a7796bc2c

3412210400300 has 72 divisors (see below), whose sum is σ = 8063669829600. Its totient is φ = 1245736926720.

The previous prime is 3412210400281. The next prime is 3412210400329. The reversal of 3412210400300 is 30040122143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14630240 + ... + 14861639.

It is an arithmetic number, because the mean of its divisors is an integer number (111995414300).

Almost surely, 23412210400300 is an apocalyptic number.

It is an amenable number.

3412210400300 is an abundant number, since it is smaller than the sum of its proper divisors (4651459429300).

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

3412210400300 is a wasteful number, since it uses less digits than its factorization.

3412210400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29491995 (or 29491988 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3412210400300 its reverse (30040122143), we get a palindrome (3442250522443).

The spelling of 3412210400300 in words is "three trillion, four hundred twelve billion, two hundred ten million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1157 1300 1780 2225 2314 4450 4628 5785 8900 11570 23140 28925 57850 115700 29491879 58983758 117967516 147459395 294918790 383394427 589837580 737296975 766788854 1474593950 1533577708 1916972135 2624777231 2949187900 3833944270 5249554462 7667888540 9584860675 10499108924 13123886155 19169721350 26247772310 34122104003 38339442700 52495544620 65619430775 68244208006 131238861550 136488416012 170610520015 262477723100 341221040030 682442080060 853052600075 1706105200150 3412210400300