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9034272 = 25321319127
BaseRepresentation
bin100010011101…
…101000100000
3121222222200200
4202131220200
54303044042
6521345200
7136534662
oct42355040
917888620
109034272
115110645
123038200
131b44130
1412b2532
15bd6c4c
hex89da20

9034272 has 144 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 2612736.

The previous prime is 9034271. The next prime is 9034273. The reversal of 9034272 is 2724309.

It is an interprime number because it is at equal distance from previous prime (9034271) and next prime (9034273).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9034271) 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, 71073 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 29034272 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 9034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

9034272 is an abundant number, since it is smaller than the sum of its proper divisors (20318688).

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

9034272 is a wasteful number, since it uses less digits than its factorization.

9034272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 9034272 is about 3005.7065725050. The cubic root of 9034272 is about 208.2720798411.

The spelling of 9034272 in words is "nine million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 127 144 152 156 171 208 228 234 247 254 288 304 312 342 381 416 456 468 494 508 608 624 684 741 762 912 936 988 1016 1143 1248 1368 1482 1524 1651 1824 1872 1976 2032 2223 2286 2413 2736 2964 3048 3302 3744 3952 4064 4446 4572 4826 4953 5472 5928 6096 6604 7239 7904 8892 9144 9652 9906 11856 12192 13208 14478 14859 17784 18288 19304 19812 21717 23712 26416 28956 29718 31369 35568 36576 38608 39624 43434 52832 57912 59436 62738 71136 77216 79248 86868 94107 115824 118872 125476 158496 173736 188214 231648 237744 250952 282321 347472 376428 475488 501904 564642 694944 752856 1003808 1129284 1505712 2258568 3011424 4517136 9034272