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340556940 = 223355771093
BaseRepresentation
bin10100010011000…
…111110010001100
3212201211002022000
4110103013302030
51144140310230
653443152300
711303454243
oct2423076214
9781732260
10340556940
11165265519
1296075690
135572aca9
143332d95a
151ed70b60
hex144c7c8c

340556940 has 96 divisors (see below), whose sum is σ = 1062317760. Its totient is φ = 90574848.

The previous prime is 340556939. The next prime is 340556941. The reversal of 340556940 is 49655043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340556939) and next prime (340556941).

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 = 340556895 and 340556904.

It is not an unprimeable number, because it can be changed into a prime (340556941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 311034 + ... + 312126.

It is an arithmetic number, because the mean of its divisors is an integer number (11065810).

Almost surely, 2340556940 is an apocalyptic number.

340556940 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 340556940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531158880).

340556940 is an abundant number, since it is smaller than the sum of its proper divisors (721760820).

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

340556940 is a wasteful number, since it uses less digits than its factorization.

340556940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 340556940 is about 18454.1848912381. The cubic root of 340556940 is about 698.3340929292.

The spelling of 340556940 in words is "three hundred forty million, five hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 1093 1154 1731 2186 2308 2885 3279 3462 4372 5193 5465 5770 6558 6924 8655 9837 10386 10930 11540 13116 15579 16395 17310 19674 20772 21860 25965 29511 31158 32790 34620 39348 49185 51930 59022 62316 65580 77895 98370 103860 118044 147555 155790 196740 295110 311580 590220 630661 1261322 1891983 2522644 3153305 3783966 5675949 6306610 7567932 9459915 11351898 12613220 17027847 18919830 22703796 28379745 34055694 37839660 56759490 68111388 85139235 113518980 170278470 340556940