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340422912 = 283416417
BaseRepresentation
bin10100010010100…
…111000100000000
3212201120021110000
4110102213010000
51144122013122
653440240000
711302355424
oct2422470400
9781507400
10340422912
11165183855
1296010000
13556b1c9b
14332d6b84
151ed460ac
hex144a7100

340422912 has 90 divisors (see below), whose sum is σ = 1015141358. Its totient is φ = 113467392.

The previous prime is 340422899. The next prime is 340422941. The reversal of 340422912 is 219224043.

It can be written as a sum of positive squares in only one way, i.e., 255488256 + 84934656 = 15984^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12528 + ... + 28944.

Almost surely, 2340422912 is an apocalyptic number.

340422912 is a gapful number since it is divisible by the number (32) 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 340422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507570679).

340422912 is an abundant number, since it is smaller than the sum of its proper divisors (674718446).

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

340422912 is an equidigital number, since it uses as much as digits as its factorization.

340422912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16445 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 340422912 is about 18450.5531624393. The cubic root of 340422912 is about 698.2424698730.

Adding to 340422912 its reverse (219224043), we get a palindrome (559646955).

The spelling of 340422912 in words is "three hundred forty million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 16417 20736 32834 49251 65668 98502 131336 147753 197004 262672 295506 394008 443259 525344 591012 788016 886518 1050688 1182024 1329777 1576032 1773036 2101376 2364048 2659554 3152064 3546072 4202752 4728096 5319108 6304128 7092144 9456192 10638216 12608256 14184288 18912384 21276432 28368576 37824768 42552864 56737152 85105728 113474304 170211456 340422912