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340067840 = 295722711
BaseRepresentation
bin10100010001010…
…000011000000000
3212200220020101012
4110101100120000
51144024132330
653424500052
711266346300
oct2421203000
9780806335
10340067840
11164a61002
1295a7a628
13555b9498
1433243600
151ecc5c95
hex14450600

340067840 has 120 divisors (see below), whose sum is σ = 948836592. Its totient is φ = 116551680.

The previous prime is 340067821. The next prime is 340067869. The reversal of 340067840 is 48760043.

It is a happy number.

It is a super-2 number, since 2×3400678402 = 231292271604531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 340067797 and 340067806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124085 + ... + 126795.

Almost surely, 2340067840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474418296).

340067840 is an abundant number, since it is smaller than the sum of its proper divisors (608768752).

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

340067840 is an equidigital number, since it uses as much as digits as its factorization.

340067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 340067840 is about 18440.9283931151. The cubic root of 340067840 is about 697.9996223346. Note that the first 3 decimals are identical.

The spelling of 340067840 in words is "three hundred forty million, sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 2711 3136 3584 3920 4480 5422 6272 7840 8960 10844 12544 13555 15680 17920 18977 21688 25088 27110 31360 37954 43376 54220 62720 75908 86752 94885 108440 125440 132839 151816 173504 189770 216880 265678 303632 347008 379540 433760 531356 607264 664195 694016 759080 867520 1062712 1214528 1328390 1388032 1518160 1735040 2125424 2429056 2656780 3036320 3470080 4250848 4858112 5313560 6072640 6940160 8501696 9716224 10627120 12145280 17003392 21254240 24290560 34006784 42508480 48581120 68013568 85016960 170033920 340067840