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2341200420 = 22325133073259
BaseRepresentation
bin1000101110001011…
…1110001000100100
320001011101022012200
42023202332020210
514243321403140
61024152014500
7112005606126
oct21342761044
96034338180
102341200420
11aa1601589
12554091430
132b406c1c0
14182d15216
15da80e030
hex8b8be224

2341200420 has 144 divisors (see below), whose sum is σ = 7675187520. Its totient is φ = 574242048.

The previous prime is 2341200401. The next prime is 2341200443. The reversal of 2341200420 is 240021432.

2341200420 is a `hidden beast` number, since 2 + 3 + 41 + 200 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2341200393 and 2341200402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716751 + ... + 720009.

Almost surely, 22341200420 is an apocalyptic number.

2341200420 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 2341200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837593760).

2341200420 is an abundant number, since it is smaller than the sum of its proper divisors (5333987100).

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

2341200420 is a wasteful number, since it uses less digits than its factorization.

2341200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2341200420 is about 48385.9527135717. The cubic root of 2341200420 is about 1327.8413775135.

Adding to 2341200420 its reverse (240021432), we get a palindrome (2581221852).

The spelling of 2341200420 in words is "two billion, three hundred forty-one million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 307 390 468 585 614 780 921 1170 1228 1535 1842 2340 2763 3070 3259 3684 3991 4605 5526 6140 6518 7982 9210 9777 11052 11973 13036 13815 15964 16295 18420 19554 19955 23946 27630 29331 32590 35919 39108 39910 42367 47892 48885 55260 58662 59865 65180 71838 79820 84734 97770 117324 119730 127101 143676 146655 169468 179595 195540 211835 239460 254202 293310 359190 381303 423670 508404 586620 635505 718380 762606 847340 1000513 1271010 1525212 1906515 2001026 2542020 3001539 3813030 4002052 5002565 6003078 7626060 9004617 10005130 12006156 13006669 15007695 18009234 20010260 26013338 30015390 36018468 39020007 45023085 52026676 60030780 65033345 78040014 90046170 117060021 130066690 156080028 180092340 195100035 234120042 260133380 390200070 468240084 585300105 780400140 1170600210 2341200420