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2340534432 = 253173474133
BaseRepresentation
bin1000101110000001…
…1011100010100000
320001010010110122110
42023200123202200
514243134100212
61024125435320
7112000133355
oct21340334240
96033113573
102340534432
11aa1197185
12553a0bb40
132b3b98022
14182bc062c
15da72ba3c
hex8b81b8a0

2340534432 has 96 divisors (see below), whose sum is σ = 6525634752. Its totient is φ = 731992064.

The previous prime is 2340534421. The next prime is 2340534433. The reversal of 2340534432 is 2344350432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2340534432.

It is not an unprimeable number, because it can be changed into a prime (2340534433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564238 + ... + 568370.

It is an arithmetic number, because the mean of its divisors is an integer number (67975362).

Almost surely, 22340534432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262817376).

2340534432 is an abundant number, since it is smaller than the sum of its proper divisors (4185100320).

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

2340534432 is a wasteful number, since it uses less digits than its factorization.

2340534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 2340534432 is about 48379.0701853601. The cubic root of 2340534432 is about 1327.7154577386.

Adding to 2340534432 its reverse (2344350432), we get a palindrome (4684884864).

The spelling of 2340534432 in words is "two billion, three hundred forty million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 347 408 544 694 816 1041 1388 1632 2082 2776 4133 4164 5552 5899 8266 8328 11104 11798 12399 16532 16656 17697 23596 24798 33064 33312 35394 47192 49596 66128 70261 70788 94384 99192 132256 140522 141576 188768 198384 210783 281044 283152 396768 421566 562088 566304 843132 1124176 1434151 1686264 2248352 2868302 3372528 4302453 5736604 6745056 8604906 11473208 17209812 22946416 24380567 34419624 45892832 48761134 68839248 73141701 97522268 137678496 146283402 195044536 292566804 390089072 585133608 780178144 1170267216 2340534432