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34407282064 = 247925872
BaseRepresentation
bin100000000010110101…
…010111010110010000
310021210220101000210011
4200002311113112100
51030431231011224
623450111244304
72325434033461
oct400265272620
9107726330704
1034407282064
1113657017301
126802b19694
1333244a77cc
1419458dad68
15d65a00394
hex802d57590

34407282064 has 45 divisors (see below), whose sum is σ = 67633859307. Its totient is φ = 16956936672.

The previous prime is 34407282047. The next prime is 34407282071. The reversal of 34407282064 is 46028270443.

The square root of 34407282064 is 185492.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×344072820642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58615179 + ... + 58615765.

Almost surely, 234407282064 is an apocalyptic number.

34407282064 is the 185492-nd square number.

It is an amenable number.

34407282064 is a deficient number, since it is larger than the sum of its proper divisors (33226577243).

34407282064 is an frugal number, since it uses more digits than its factorization.

34407282064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 34407282064 in words is "thirty-four billion, four hundred seven million, two hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 79 158 316 587 632 1174 1264 2348 4696 6241 9392 12482 24964 46373 49928 92746 99856 185492 344569 370984 689138 741968 1378276 2756552 3663467 5513104 7326934 14653868 27220951 29307736 54441902 58615472 108883804 217767608 435535216 2150455129 4300910258 8601820516 17203641032 34407282064