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3361684272 = 2434313112433
BaseRepresentation
bin1100100001011111…
…0011101100110000
322200021121020212220
43020113303230300
523341042344042
61313324321040
7146206562532
oct31027635460
98607536786
103361684272
111475646171
127999a3180
134175cbabb
1423c675852
1514a1d98ec
hexc85f3b30

3361684272 has 80 divisors (see below), whose sum is σ = 8954867328. Its totient is φ = 1086059520.

The previous prime is 3361684267. The next prime is 3361684279. The reversal of 3361684272 is 2724861633.

3361684272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33616842722 = 22601842289224339968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3361684279) 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, 264168 + ... + 276600.

Almost surely, 23361684272 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 3361684272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477433664).

3361684272 is an abundant number, since it is smaller than the sum of its proper divisors (5593183056).

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

3361684272 is a wasteful number, since it uses less digits than its factorization.

3361684272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12612 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 3361684272 is about 57980.0333908148. The cubic root of 3361684272 is about 1498.0246994893.

The spelling of 3361684272 in words is "three billion, three hundred sixty-one million, six hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 131 172 258 262 344 393 516 524 688 786 1032 1048 1572 2064 2096 3144 5633 6288 11266 12433 16899 22532 24866 33798 37299 45064 49732 67596 74598 90128 99464 135192 149196 198928 270384 298392 534619 596784 1069238 1603857 1628723 2138476 3207714 3257446 4276952 4886169 6415428 6514892 8553904 9772338 12830856 13029784 19544676 25661712 26059568 39089352 70035089 78178704 140070178 210105267 280140356 420210534 560280712 840421068 1120561424 1680842136 3361684272