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340000770 = 235371571951
BaseRepresentation
bin10100010001000…
…000000000000010
3212200202211101010
4110101000000002
51144020011040
653423221350
711265646614
oct2421000002
9780684333
10340000770
11164a1567a
1295a47856
1355594ab5
1433226db4
151ecb0e80
hex14440002

340000770 has 64 divisors (see below), whose sum is σ = 843826176. Its totient is φ = 87609600.

The previous prime is 340000769. The next prime is 340000783. The reversal of 340000770 is 77000043.

340000770 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

340000770 is a modest number, since divided by 770 gives 340 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173295 + ... + 175245.

It is an arithmetic number, because the mean of its divisors is an integer number (13184784).

Almost surely, 2340000770 is an apocalyptic number.

340000770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340000770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421913088).

340000770 is an abundant number, since it is smaller than the sum of its proper divisors (503825406).

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

340000770 is a wasteful number, since it uses less digits than its factorization.

340000770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 340000770 is about 18439.1097941305. The cubic root of 340000770 is about 697.9537315767.

The spelling of 340000770 in words is "three hundred forty million, seven hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 74 111 157 185 222 314 370 471 555 785 942 1110 1570 1951 2355 3902 4710 5809 5853 9755 11618 11706 17427 19510 29045 29265 34854 58090 58530 72187 87135 144374 174270 216561 306307 360935 433122 612614 721870 918921 1082805 1531535 1837842 2165610 3063070 4594605 9189210 11333359 22666718 34000077 56666795 68000154 113333590 170000385 340000770