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341638770 = 235114722027
BaseRepresentation
bin10100010111001…
…111111001110010
3212210212001021210
4110113033321302
51144424420040
653522300550
711315611254
oct2427177162
9783761253
10341638770
111659342a0
12964b7756
1355a19525
1433531cd4
151eed6480
hex145cfe72

341638770 has 64 divisors (see below), whose sum is σ = 913545216. Its totient is φ = 81055680.

The previous prime is 341638769. The next prime is 341638777. The reversal of 341638770 is 77836143.

It is a super-2 number, since 2×3416387702 = 233434098334225800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (341638777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497 + ... + 26523.

It is an arithmetic number, because the mean of its divisors is an integer number (14274144).

Almost surely, 2341638770 is an apocalyptic number.

341638770 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 341638770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456772608).

341638770 is an abundant number, since it is smaller than the sum of its proper divisors (571906446).

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

341638770 is a wasteful number, since it uses less digits than its factorization.

341638770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22095.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 341638770 is about 18483.4728879613. The cubic root of 341638770 is about 699.0727655056.

The spelling of 341638770 in words is "three hundred forty-one million, six hundred thirty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 22027 44054 66081 110135 132162 220270 242297 330405 484594 660810 726891 1035269 1211485 1453782 2070538 2422970 3105807 3634455 5176345 6211614 7268910 10352690 11387959 15529035 22775918 31058070 34163877 56939795 68327754 113879590 170819385 341638770