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34230334303232 = 210831672411663
BaseRepresentation
bin1111100100001110111101…
…11010101010110000000000
311111012101110212000102002222
413302013132322222300000
513441312211040200412
6200445110512430212
710132026410565224
oct762073672526000
9144171425012088
1034230334303232
11a9a8004370911
123a0a099848368
131613ba2c6a5b2
14864a85398784
153e562236a072
hex1f21deeaac00

34230334303232 has 88 divisors (see below), whose sum is σ = 69666374647296. Its totient is φ = 16807702089728.

The previous prime is 34230334303229. The next prime is 34230334303259. The reversal of 34230334303232 is 23230343303243.

It is a super-2 number, since 2×342303343032322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34230334303192 and 34230334303201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12987833 + ... + 15399495.

Almost surely, 234230334303232 is an apocalyptic number.

34230334303232 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 34230334303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34833187323648).

34230334303232 is an abundant number, since it is smaller than the sum of its proper divisors (35436040344064).

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

34230334303232 is a wasteful number, since it uses less digits than its factorization.

34230334303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411933 (or 2411915 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 35.

Adding to 34230334303232 its reverse (23230343303243), we get a palindrome (57460677606475).

The spelling of 34230334303232 in words is "thirty-four trillion, two hundred thirty billion, three hundred thirty-four million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 167 256 332 334 512 664 668 1024 1328 1336 2656 2672 5312 5344 10624 10688 13861 21248 21376 27722 42496 42752 55444 84992 85504 110888 171008 221776 443552 887104 1774208 2411663 3548416 4823326 7096832 9646652 14193664 19293304 38586608 77173216 154346432 200168029 308692864 400336058 402747721 617385728 800672116 805495442 1234771456 1601344232 1610990884 2469542912 3202688464 3221981768 6405376928 6443963536 12810753856 12887927072 25621507712 25775854144 33428060843 51243015424 51551708288 66856121686 102486030848 103103416576 133712243372 204972061696 206206833152 267424486744 412413666304 534848973488 1069697946976 2139395893952 4278791787904 8557583575808 17115167151616 34230334303232