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343740540 = 2235111340063
BaseRepresentation
bin10100011111010…
…001000001111100
3212221210211101010
4110133101001330
51200444144130
654035315220
711342514003
oct2437210174
9787724333
10343740540
1116703a3a0
129714bb10
13562a4090
143391bc3a
152029e0b0
hex147d107c

343740540 has 96 divisors (see below), whose sum is σ = 1130766336. Its totient is φ = 76919040.

The previous prime is 343740503. The next prime is 343740541. The reversal of 343740540 is 45047343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343740498 and 343740507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343740541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11452 + ... + 28611.

It is an arithmetic number, because the mean of its divisors is an integer number (11778816).

Almost surely, 2343740540 is an apocalyptic number.

343740540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343740540 is an abundant number, since it is smaller than the sum of its proper divisors (787025796).

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

343740540 is a wasteful number, since it uses less digits than its factorization.

343740540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40099 (or 40097 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 343740540 is about 18540.2410987560. The cubic root of 343740540 is about 700.5034065947.

Adding to 343740540 its reverse (45047343), we get a palindrome (388787883).

The spelling of 343740540 in words is "three hundred forty-three million, seven hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 40063 80126 120189 160252 200315 240378 400630 440693 480756 520819 600945 801260 881386 1041638 1201890 1322079 1562457 1762772 2083276 2203465 2403780 2604095 2644158 3124914 4406930 5208190 5288316 5729009 6249828 6610395 7812285 8813860 10416380 11458018 13220790 15624570 17187027 22916036 26441580 28645045 31249140 34374054 57290090 68748108 85935135 114580180 171870270 343740540