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34290256 = 24711132141
BaseRepresentation
bin1000001011001…
…1101001010000
32101112010101111
42002303221100
532234242011
63222543104
7564314410
oct202635120
971463344
1034290256
11183a0860
12b597a94
1371479c0
1447a8640
153025121
hex20b3a50

34290256 has 80 divisors (see below), whose sum is σ = 89244288. Its totient is φ = 12326400.

The previous prime is 34290253. The next prime is 34290259. The reversal of 34290256 is 65209243.

It is an interprime number because it is at equal distance from previous prime (34290253) and next prime (34290259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34290253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14946 + ... + 17086.

Almost surely, 234290256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34290256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44622144).

34290256 is an abundant number, since it is smaller than the sum of its proper divisors (54954032).

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

34290256 is a wasteful number, since it uses less digits than its factorization.

34290256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34290256 is about 5855.7882475376. The cubic root of 34290256 is about 324.8804483359.

Adding to 34290256 its reverse (65209243), we get a palindrome (99499499).

The spelling of 34290256 in words is "thirty-four million, two hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2141 2288 4004 4282 8008 8564 14987 16016 17128 23551 27833 29974 34256 47102 55666 59948 94204 111332 119896 164857 188408 194831 222664 239792 306163 329714 376816 389662 445328 612326 659428 779324 1224652 1318856 1558648 2143141 2449304 2637712 3117296 4286282 4898608 8572564 17145128 34290256