[go: up one dir, main page]

Search a number
-
+
2341021400 = 235261311617
BaseRepresentation
bin1000101110001001…
…0010011011011000
320001011001012122022
42023202102123120
514243300141100
61024144114012
7112004232164
oct21342223330
96034035568
102341021400
11aa149a033
12554005908
132b4008883
14182ca9ca4
15da7c5e85
hex8b8926d8

2341021400 has 96 divisors (see below), whose sum is σ = 5558885280. Its totient is φ = 916608000.

The previous prime is 2341021399. The next prime is 2341021469. The reversal of 2341021400 is 41201432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793892 + ... + 3794508.

It is an arithmetic number, because the mean of its divisors is an integer number (57905055).

Almost surely, 22341021400 is an apocalyptic number.

2341021400 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 2341021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779442640).

2341021400 is an abundant number, since it is smaller than the sum of its proper divisors (3217863880).

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

2341021400 is a wasteful number, since it uses less digits than its factorization.

2341021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2341021400 is about 48384.1027611343. The cubic root of 2341021400 is about 1327.8075321664.

Adding to 2341021400 its reverse (41201432), we get a palindrome (2382222832).

The spelling of 2341021400 in words is "two billion, three hundred forty-one million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 311 488 610 617 622 1220 1234 1244 1525 1555 2440 2468 2488 3050 3085 3110 4936 6100 6170 6220 7775 12200 12340 12440 15425 15550 18971 24680 30850 31100 37637 37942 61700 62200 75274 75884 94855 123400 150548 151768 188185 189710 191887 301096 376370 379420 383774 474275 752740 758840 767548 940925 948550 959435 1505480 1535096 1881850 1897100 1918870 3763700 3794200 3837740 4797175 7527400 7675480 9594350 11705107 19188700 23410214 38377400 46820428 58525535 93640856 117051070 234102140 292627675 468204280 585255350 1170510700 2341021400