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340212246272 = 282924336749
BaseRepresentation
bin1001111001101100011…
…10101110011100000000
31012112010222100210101122
410330312032232130000
521033223313340042
6420142533051412
733402530244053
oct4746616563400
91175128323348
10340212246272
11121312a42088
1255b28486b68
132610ab65582
141267599ca9a
158cb2b1d7d2
hex4f363ae700

340212246272 has 108 divisors (see below), whose sum is σ = 719695977000. Its totient is φ = 160416485376.

The previous prime is 340212246271. The next prime is 340212246277. The reversal of 340212246272 is 272642212043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340212246271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9239354 + ... + 9276102.

Almost surely, 2340212246272 is an apocalyptic number.

340212246272 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 340212246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359847988500).

340212246272 is an abundant number, since it is smaller than the sum of its proper divisors (379483730728).

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

340212246272 is an equidigital number, since it uses as much as digits as its factorization.

340212246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36866 (or 36823 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 340212246272 in words is "three hundred forty billion, two hundred twelve million, two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 232 256 344 464 688 841 928 1247 1376 1682 1856 2494 2752 3364 3712 4988 5504 6728 7424 9976 11008 13456 19952 26912 36163 36749 39904 53824 72326 73498 79808 107648 144652 146996 159616 215296 289304 293992 319232 578608 587984 1065721 1157216 1175968 1580207 2131442 2314432 2351936 3160414 4262884 4628864 4703872 6320828 8525768 9257728 9407744 12641656 17051536 25283312 30905909 34103072 45826003 50566624 61811818 68206144 91652006 101133248 123623636 136412288 183304012 202266496 247247272 272824576 366608024 404532992 494494544 733216048 988989088 1328954087 1466432096 1977978176 2657908174 2932864192 3955956352 5315816348 5865728384 7911912704 10631632696 11731456768 21263265392 42526530784 85053061568 170106123136 340212246272