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30450672 = 24327171777
BaseRepresentation
bin111010000101…
…0001111110000
32010022001110200
41310022033300
530243410142
63004355200
7516553320
oct164121760
963261420
1030450672
111620904a
12a245b00
136402165
144089280
152a1764c
hex1d0a3f0

30450672 has 120 divisors (see below), whose sum is σ = 103180896. Its totient is φ = 8183808.

The previous prime is 30450671. The next prime is 30450697. The reversal of 30450672 is 27605403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30450671) 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, 16248 + ... + 18024.

Almost surely, 230450672 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 30450672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51590448).

30450672 is an abundant number, since it is smaller than the sum of its proper divisors (72730224).

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

30450672 is a wasteful number, since it uses less digits than its factorization.

30450672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30450672 is about 5518.2127541442. The cubic root of 30450672 is about 312.2714599964.

The spelling of 30450672 in words is "thirty million, four hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1777 1904 2142 2448 2856 3554 4284 5331 5712 7108 8568 10662 12439 14216 15993 17136 21324 24878 28432 30209 31986 37317 42648 49756 60418 63972 74634 85296 90627 99512 111951 120836 127944 149268 181254 199024 211463 223902 241672 255888 271881 298536 362508 422926 447804 483344 543762 597072 634389 725016 845852 895608 1087524 1268778 1450032 1691704 1791216 1903167 2175048 2537556 3383408 3806334 4350096 5075112 7612668 10150224 15225336 30450672