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2340506320 = 24541713569
BaseRepresentation
bin1000101110000001…
…0100101011010000
320001010002001002021
42023200110223100
514243132200240
61024125101224
7111666655405
oct21340245320
96033061067
102340506320
11aa1178049
125539b7814
132b3b882a9
14182bb42ac
15da72354a
hex8b814ad0

2340506320 has 40 divisors (see below), whose sum is σ = 5574408840. Its totient is φ = 913367040.

The previous prime is 2340506303. The next prime is 2340506339. The reversal of 2340506320 is 236050432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6843456 + 2333662864 = 2616^2 + 48308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353505 + ... + 360064.

It is an arithmetic number, because the mean of its divisors is an integer number (139360221).

Almost surely, 22340506320 is an apocalyptic number.

2340506320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340506320 is an abundant number, since it is smaller than the sum of its proper divisors (3233902520).

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

2340506320 is a wasteful number, since it uses less digits than its factorization.

2340506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713623 (or 713617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2340506320 is about 48378.7796456256. The cubic root of 2340506320 is about 1327.7101420172.

Adding to 2340506320 its reverse (236050432), we get a palindrome (2576556752).

The spelling of 2340506320 in words is "two billion, three hundred forty million, five hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 713569 1427138 2854276 3567845 5708552 7135690 11417104 14271380 28542760 29256329 57085520 58512658 117025316 146281645 234050632 292563290 468101264 585126580 1170253160 2340506320