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3834072 = 23321147103
BaseRepresentation
bin1110101000000011011000
321012210100200
432220003120
51440142242
6214102200
744406024
oct16500330
97183320
103834072
112189660
12134a960
13a431a8
1471b384
1550b04c
hex3a80d8

3834072 has 96 divisors (see below), whose sum is σ = 11681280. Its totient is φ = 1126080.

The previous prime is 3834059. The next prime is 3834079. The reversal of 3834072 is 2704383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834079) 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, 37173 + ... + 37275.

It is an arithmetic number, because the mean of its divisors is an integer number (121680).

Almost surely, 23834072 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 3834072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840640).

3834072 is an abundant number, since it is smaller than the sum of its proper divisors (7847208).

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

3834072 is a wasteful number, since it uses less digits than its factorization.

3834072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3834072 is about 1958.0786501058. The cubic root of 3834072 is about 156.5140831199.

The spelling of 3834072 in words is "three million, eight hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 103 132 141 188 198 206 264 282 309 376 396 412 423 517 564 618 792 824 846 927 1034 1128 1133 1236 1551 1692 1854 2068 2266 2472 3102 3384 3399 3708 4136 4532 4653 4841 6204 6798 7416 9064 9306 9682 10197 12408 13596 14523 18612 19364 20394 27192 29046 37224 38728 40788 43569 53251 58092 81576 87138 106502 116184 159753 174276 213004 319506 348552 426008 479259 639012 958518 1278024 1917036 3834072