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342957240 = 23345151701
BaseRepresentation
bin10100011100010…
…001110010111000
3212220100000220000
4110130101302320
51200244112430
654010433000
711333042223
oct2434216270
9786300800
10342957240
1116665493a
1296a32760
135608b6a2
14337965ba
1520196e60
hex14711cb8

342957240 has 160 divisors (see below), whose sum is σ = 1162006560. Its totient is φ = 90720000.

The previous prime is 342957233. The next prime is 342957253. The reversal of 342957240 is 42759243.

342957240 is a `hidden beast` number, since 3 + 42 + 9 + 572 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342957195 and 342957204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488890 + ... + 489590.

It is an arithmetic number, because the mean of its divisors is an integer number (7262541).

Almost surely, 2342957240 is an apocalyptic number.

342957240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342957240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581003280).

342957240 is an abundant number, since it is smaller than the sum of its proper divisors (819049320).

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

342957240 is a wasteful number, since it uses less digits than its factorization.

342957240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 342957240 is about 18519.1047299809. The cubic root of 342957240 is about 699.9709103558.

The spelling of 342957240 in words is "three hundred forty-two million, nine hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 151 162 180 216 270 302 324 360 405 453 540 604 648 701 755 810 906 1080 1208 1359 1402 1510 1620 1812 2103 2265 2718 2804 3020 3240 3505 3624 4077 4206 4530 5436 5608 6040 6309 6795 7010 8154 8412 9060 10515 10872 12231 12618 13590 14020 16308 16824 18120 18927 20385 21030 24462 25236 27180 28040 31545 32616 37854 40770 42060 48924 50472 54360 56781 61155 63090 75708 81540 84120 94635 97848 105851 113562 122310 126180 151416 163080 189270 211702 227124 244620 252360 283905 317553 378540 423404 454248 489240 529255 567810 635106 757080 846808 952659 1058510 1135620 1270212 1587765 1905318 2117020 2271240 2540424 2857977 3175530 3810636 4234040 4763295 5715954 6351060 7621272 8573931 9526590 11431908 12702120 14289885 17147862 19053180 22863816 28579770 34295724 38106360 42869655 57159540 68591448 85739310 114319080 171478620 342957240