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2342400240 = 243575712893
BaseRepresentation
bin1000101110011110…
…0011000011110000
320001020122021001110
42023213203003300
514244123301430
61024233433320
7112022034135
oct21347430360
96036567043
102342400240
11aa2250a74
1255456b840
132b439c35b
1418314858c
15da9997b0
hex8b9e30f0

2342400240 has 80 divisors (see below), whose sum is σ = 7271597088. Its totient is φ = 623766528.

The previous prime is 2342400227. The next prime is 2342400259. The reversal of 2342400240 is 420042432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175234 + ... + 188126.

Almost surely, 22342400240 is an apocalyptic number.

2342400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342400240 is an abundant number, since it is smaller than the sum of its proper divisors (4929196848).

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

2342400240 is a wasteful number, since it uses less digits than its factorization.

2342400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2342400240 is about 48398.3495586368. The cubic root of 2342400240 is about 1328.0681697962.

Adding to 2342400240 its reverse (420042432), we get a palindrome (2762442672).

The spelling of 2342400240 in words is "two billion, three hundred forty-two million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 757 1514 2271 3028 3785 4542 6056 7570 9084 11355 12112 12893 15140 18168 22710 25786 30280 36336 38679 45420 51572 60560 64465 77358 90840 103144 128930 154716 181680 193395 206288 257860 309432 386790 515720 618864 773580 1031440 1547160 3094320 9760001 19520002 29280003 39040004 48800005 58560006 78080008 97600010 117120012 146400015 156160016 195200020 234240024 292800030 390400040 468480048 585600060 780800080 1171200120 2342400240