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30785436 = 223211172269
BaseRepresentation
bin111010101101…
…1111110011100
32010221001200100
41311123332130
530340113221
63015501100
7522446313
oct165337634
963831610
1030785436
1116417610
12a387790
1364bb646
14413527a
152a81926
hex1d5bf9c

30785436 has 108 divisors (see below), whose sum is σ = 90515880. Its totient is φ = 8747520.

The previous prime is 30785429. The next prime is 30785437. The reversal of 30785436 is 63458703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30785436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30785437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114310 + ... + 114578.

It is an arithmetic number, because the mean of its divisors is an integer number (838110).

Almost surely, 230785436 is an apocalyptic number.

30785436 is a gapful number since it is divisible by the number (36) 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 30785436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257940).

30785436 is an abundant number, since it is smaller than the sum of its proper divisors (59730444).

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

30785436 is a wasteful number, since it uses less digits than its factorization.

30785436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 30785436 is about 5548.4624897353. The cubic root of 30785436 is about 313.4116262277.

The spelling of 30785436 in words is "thirty million, seven hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 269 289 306 374 396 538 561 578 612 748 807 867 1076 1122 1156 1614 1683 1734 2244 2421 2601 2959 3179 3228 3366 3468 4573 4842 5202 5918 6358 6732 8877 9146 9537 9684 10404 11836 12716 13719 17754 18292 19074 26631 27438 28611 35508 38148 41157 50303 53262 54876 57222 77741 82314 100606 106524 114444 150909 155482 164628 201212 233223 301818 310964 452727 466446 603636 699669 855151 905454 932892 1399338 1710302 1810908 2565453 2798676 3420604 5130906 7696359 10261812 15392718 30785436