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2343424140 = 2232519516673
BaseRepresentation
bin1000101110101101…
…1101000010001100
320001022120021120200
42023223131002030
514244404033030
61024311413500
7112033530231
oct21353350214
96038507520
102343424140
11aa2890272
12554984290
132b466a405
14183333788
15daaecd60
hex8badd08c

2343424140 has 72 divisors (see below), whose sum is σ = 7113095808. Its totient is φ = 624499200.

The previous prime is 2343424133. The next prime is 2343424243. The reversal of 2343424140 is 414243432.

It is a happy number.

2343424140 is a `hidden beast` number, since 234 + 3 + 424 + 1 + 4 + 0 = 666.

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, 347844 + ... + 354516.

Almost surely, 22343424140 is an apocalyptic number.

2343424140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343424140 is an abundant number, since it is smaller than the sum of its proper divisors (4769671668).

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

2343424140 is a wasteful number, since it uses less digits than its factorization.

2343424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2343424140 is about 48408.9262429978. The cubic root of 2343424140 is about 1328.2616481057.

Adding to 2343424140 its reverse (414243432), we get a palindrome (2757667572).

It can be divided in two parts, 23434 and 24140, that added together give a palindrome (47574).

The spelling of 2343424140 in words is "two billion, three hundred forty-three million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1951 3902 5853 6673 7804 9755 11706 13346 17559 19510 20019 23412 26692 29265 33365 35118 39020 40038 58530 60057 66730 70236 80076 87795 100095 117060 120114 133460 175590 200190 240228 300285 351180 400380 600570 1201140 13019023 26038046 39057069 52076092 65095115 78114138 117171207 130190230 156228276 195285345 234342414 260380460 390570690 468684828 585856035 781141380 1171712070 2343424140