Search a number
-
+
3416009664 = 26327976361
BaseRepresentation
bin1100101110011100…
…0010101111000000
322211001211021022110
43023213002233000
523443444302124
61322544535320
7150436413564
oct31347025700
98731737273
103416009664
1114a3280691
127b4021540
1342593cbc2
142459776a4
1514ed6b029
hexcb9c2bc0

3416009664 has 56 divisors (see below), whose sum is σ = 9042845008. Its totient is φ = 1138083840.

The previous prime is 3416009647. The next prime is 3416009683. The reversal of 3416009664 is 4669006143.

It is a congruent number.

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, 533844 + ... + 540204.

Almost surely, 23416009664 is an apocalyptic number.

It is an amenable number.

3416009664 is an abundant number, since it is smaller than the sum of its proper divisors (5626835344).

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

3416009664 is a wasteful number, since it uses less digits than its factorization.

3416009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3416009664 is about 58446.6394585694. The cubic root of 3416009664 is about 1506.0510627138.

The spelling of 3416009664 in words is "three billion, four hundred sixteen million, nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2797 5594 6361 8391 11188 12722 16782 19083 22376 25444 33564 38166 44752 50888 67128 76332 89504 101776 134256 152664 179008 203552 268512 305328 407104 537024 610656 1221312 17791717 35583434 53375151 71166868 106750302 142333736 213500604 284667472 427001208 569334944 854002416 1138669888 1708004832 3416009664