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340244024040 = 23335315040763
BaseRepresentation
bin1001111001110000001…
…11111100101011101000
31012112020012011021022000
410330320013330223220
521033304432232130
6420150030131000
733403364325444
oct4747007745350
91175205137260
10340244024040
111213299771a8
1255b37050a60
132611461079b
1412679cb1824
158cb57e9260
hex4f381fcae8

340244024040 has 64 divisors (see below), whose sum is σ = 1134146750400. Its totient is φ = 90731739456.

The previous prime is 340244024033. The next prime is 340244024083. The reversal of 340244024040 is 40420442043.

It is a happy number.

340244024040 is a `hidden beast` number, since 340 + 2 + 4 + 40 + 240 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340244023995 and 340244024013.

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, 157519302 + ... + 157521461.

It is an arithmetic number, because the mean of its divisors is an integer number (17721042975).

Almost surely, 2340244024040 is an apocalyptic number.

340244024040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340244024040 is an abundant number, since it is smaller than the sum of its proper divisors (793902726360).

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

340244024040 is a wasteful number, since it uses less digits than its factorization.

340244024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315040783 (or 315040773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 340244024040 its reverse (40420442043), we get a palindrome (380664466083).

The spelling of 340244024040 in words is "three hundred forty billion, two hundred forty-four million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 315040763 630081526 945122289 1260163052 1575203815 1890244578 2520326104 2835366867 3150407630 3780489156 4725611445 5670733734 6300815260 7560978312 8506100601 9451222890 11341467468 12601630520 14176834335 17012201202 18902445780 22682934936 28353668670 34024402404 37804891560 42530503005 56707337340 68048804808 85061006010 113414674680 170122012020 340244024040