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3396066432 = 273115913627
BaseRepresentation
bin1100101001101011…
…1101110010000000
322202200022001100020
43022122331302000
523423343111212
61320553253440
7150105042213
oct31232756200
98680261306
103396066432
111492a99a80
127a9404280
13421779585
1424306577a
1514d22bd8c
hexca6bdc80

3396066432 has 128 divisors (see below), whose sum is σ = 10008403200. Its totient is φ = 1011594240.

The previous prime is 3396066397. The next prime is 3396066433. The reversal of 3396066432 is 2346606933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3396066433) 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, 242403 + ... + 256029.

It is an arithmetic number, because the mean of its divisors is an integer number (78190650).

Almost surely, 23396066432 is an apocalyptic number.

3396066432 is a gapful number since it is divisible by the number (32) 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 3396066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004201600).

3396066432 is an abundant number, since it is smaller than the sum of its proper divisors (6612336768).

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

3396066432 is a wasteful number, since it uses less digits than its factorization.

3396066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13714 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 42.

The square root of 3396066432 is about 58275.7791196308. The cubic root of 3396066432 is about 1503.1144817489.

The spelling of 3396066432 in words is "three billion, three hundred ninety-six million, sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 264 352 354 384 472 528 649 704 708 944 1056 1298 1408 1416 1888 1947 2112 2596 2832 3776 3894 4224 5192 5664 7552 7788 10384 11328 13627 15576 20768 22656 27254 31152 40881 41536 54508 62304 81762 83072 109016 124608 149897 163524 218032 249216 299794 327048 436064 449691 599588 654096 803993 872128 899382 1199176 1308192 1607986 1744256 1798764 2398352 2411979 2616384 3215972 3597528 4796704 4823958 5232768 6431944 7195056 8843923 9593408 9647916 12863888 14390112 17687846 19186816 19295832 25727776 26531769 28780224 35375692 38591664 51455552 53063538 57560448 70751384 77183328 102911104 106127076 141502768 154366656 212254152 283005536 308733312 424508304 566011072 849016608 1132022144 1698033216 3396066432