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340739840 = 2857172237
BaseRepresentation
bin10100010011110…
…100011100000000
3212202011101012002
4110103310130000
51144212133330
653451123132
711305145420
oct2423643400
9782141162
10340739840
1116537a981
12961434a8
135579330c
143337a480
151eda9e45
hex144f4700

340739840 has 144 divisors (see below), whose sum is σ = 988085952. Its totient is φ = 109903872.

The previous prime is 340739797. The next prime is 340739843. The reversal of 340739840 is 48937043.

340739840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407398402 = 232207277126451200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340739794 and 340739803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340739843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151202 + ... + 153438.

It is an arithmetic number, because the mean of its divisors is an integer number (6861708).

Almost surely, 2340739840 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 340739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494042976).

340739840 is an abundant number, since it is smaller than the sum of its proper divisors (647346112).

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

340739840 is a wasteful number, since it uses less digits than its factorization.

340739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 340739840 is about 18459.1397416023. The cubic root of 340739840 is about 698.4590866595.

The spelling of 340739840 in words is "three hundred forty million, seven hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2237 2240 2380 2720 3808 4352 4474 4480 4760 5440 7616 8948 8960 9520 10880 11185 15232 15659 17896 19040 21760 22370 30464 31318 35792 38029 38080 44740 62636 71584 76058 76160 78295 89480 125272 143168 152116 152320 156590 178960 190145 250544 266203 286336 304232 313180 357920 380290 501088 532406 572672 608464 626360 715840 760580 1002176 1064812 1216928 1252720 1331015 1431680 1521160 2004352 2129624 2433856 2505440 2662030 2863360 3042320 4008704 4259248 4867712 5010880 5324060 6084640 8518496 9735424 10021760 10648120 12169280 17036992 20043520 21296240 24338560 34073984 42592480 48677120 68147968 85184960 170369920 340739840