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3406469616 = 2432113975417
BaseRepresentation
bin1100101100001010…
…1001100111110000
322210101212120211100
43023002221213300
523434024011431
61322004244400
7150262341204
oct31302514760
98711776740
103406469616
111498955050
127b09a0700
1342397c7c4
142445b2b04
1514e0d44e6
hexcb0a99f0

3406469616 has 120 divisors (see below), whose sum is σ = 10428176304. Its totient is φ = 1029473280.

The previous prime is 3406469611. The next prime is 3406469617. The reversal of 3406469616 is 6169646043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406469611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626140 + ... + 631556.

Almost surely, 23406469616 is an apocalyptic number.

3406469616 is a gapful number since it is divisible by the number (36) 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 3406469616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214088152).

3406469616 is an abundant number, since it is smaller than the sum of its proper divisors (7021706688).

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

3406469616 is a wasteful number, since it uses less digits than its factorization.

3406469616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3406469616 is about 58364.9690824899. The cubic root of 3406469616 is about 1504.6477494097.

The spelling of 3406469616 in words is "three billion, four hundred six million, four hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 397 528 792 794 1191 1584 1588 2382 3176 3573 4367 4764 5417 6352 7146 8734 9528 10834 13101 14292 16251 17468 19056 21668 26202 28584 32502 34936 39303 43336 48753 52404 57168 59587 65004 69872 78606 86672 97506 104808 119174 130008 157212 178761 195012 209616 238348 260016 314424 357522 390024 476696 536283 628848 715044 780048 953392 1072566 1430088 2145132 2150549 2860176 4290264 4301098 6451647 8580528 8602196 12903294 17204392 19354941 23656039 25806588 34408784 38709882 47312078 51613176 70968117 77419764 94624156 103226352 141936234 154839528 189248312 212904351 283872468 309679056 378496624 425808702 567744936 851617404 1135489872 1703234808 3406469616