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3067272 = 23321329113
BaseRepresentation
bin1011101100110110001000
312202211111200
423230312020
51241123042
6145424200
735033325
oct13546610
95684450
103067272
11180553a
12103b060
13835170
1459bb4c
15408c4c
hex2ecd88

3067272 has 96 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 903168.

The previous prime is 3067261. The next prime is 3067279. The reversal of 3067272 is 2727603.

3067272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 1887876 = 1086^2 + 1374^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3067279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27088 + ... + 27200.

Almost surely, 23067272 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 3067272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3067272 is an abundant number, since it is smaller than the sum of its proper divisors (6269328).

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

3067272 is a wasteful number, since it uses less digits than its factorization.

3067272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3067272 is about 1751.3628978598. The cubic root of 3067272 is about 145.2950314763.

The spelling of 3067272 in words is "three million, sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 113 116 117 156 174 226 232 234 261 312 339 348 377 452 468 522 678 696 754 904 936 1017 1044 1131 1356 1469 1508 2034 2088 2262 2712 2938 3016 3277 3393 4068 4407 4524 5876 6554 6786 8136 8814 9048 9831 11752 13108 13221 13572 17628 19662 26216 26442 27144 29493 35256 39324 42601 52884 58986 78648 85202 105768 117972 127803 170404 235944 255606 340808 383409 511212 766818 1022424 1533636 3067272