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2340528400 = 245277691087
BaseRepresentation
bin1000101110000001…
…1010000100010000
320001010010011101001
42023200122010100
514243133402100
61024125351344
7112000106650
oct21340320420
96033104331
102340528400
11aa11926a1
12553a08554
132b3b95362
14182bbc360
15da729d6a
hex8b81a110

2340528400 has 120 divisors (see below), whose sum is σ = 6440698880. Its totient is φ = 800686080.

The previous prime is 2340528391. The next prime is 2340528401. The reversal of 2340528400 is 48250432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2340528401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152657 + ... + 2153743.

Almost surely, 22340528400 is an apocalyptic number.

2340528400 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 2340528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220349440).

2340528400 is an abundant number, since it is smaller than the sum of its proper divisors (4100170480).

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

2340528400 is a wasteful number, since it uses less digits than its factorization.

2340528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2340528400 is about 48379.0078443120. The cubic root of 2340528400 is about 1327.7143171463.

Adding to 2340528400 its reverse (48250432), we get a palindrome (2388778832).

The spelling of 2340528400 in words is "two billion, three hundred forty million, five hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 769 1087 1400 1538 2174 2800 3076 3845 4348 5383 5435 6152 7609 7690 8696 10766 10870 12304 15218 15380 17392 19225 21532 21740 26915 27175 30436 30760 38045 38450 43064 43480 53830 54350 60872 61520 76090 76900 86128 86960 107660 108700 121744 134575 152180 153800 190225 215320 217400 269150 304360 307600 380450 430640 434800 538300 608720 760900 835903 1076600 1521800 1671806 2153200 3043600 3343612 4179515 5851321 6687224 8359030 11702642 13374448 16718060 20897575 23405284 29256605 33436120 41795150 46810568 58513210 66872240 83590300 93621136 117026420 146283025 167180600 234052840 292566050 334361200 468105680 585132100 1170264200 2340528400