Search a number
-
+
30684528 = 2433773139
BaseRepresentation
bin111010100001…
…1010101110000
32010201221021000
41311003111300
530323401103
63013402000
7521546160
oct165032560
963657230
1030684528
1116358816
12a339300
136484734
14410a5a0
152a61aa3
hex1d43570

30684528 has 160 divisors (see below), whose sum is σ = 102771200. Its totient is φ = 8584704.

The previous prime is 30684431. The next prime is 30684529. The reversal of 30684528 is 82548603.

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

It is a junction number, because it is equal to n+sod(n) for n = 30684492 and 30684501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30684529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220683 + ... + 220821.

It is an arithmetic number, because the mean of its divisors is an integer number (642320).

Almost surely, 230684528 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 30684528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385600).

30684528 is an abundant number, since it is smaller than the sum of its proper divisors (72086672).

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

30684528 is a wasteful number, since it uses less digits than its factorization.

30684528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 30684528 is about 5539.3616960802. The cubic root of 30684528 is about 313.0688195669.

The spelling of 30684528 in words is "thirty million, six hundred eighty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 139 144 146 168 189 216 219 252 278 292 336 378 417 432 438 504 511 556 584 657 756 834 876 973 1008 1022 1112 1168 1251 1314 1512 1533 1668 1752 1946 1971 2044 2224 2502 2628 2919 3024 3066 3336 3504 3753 3892 3942 4088 4599 5004 5256 5838 6132 6672 7506 7784 7884 8176 8757 9198 10008 10147 10512 11676 12264 13797 15012 15568 15768 17514 18396 20016 20294 23352 24528 26271 27594 30024 30441 31536 35028 36792 40588 46704 52542 55188 60048 60882 70056 71029 73584 81176 91323 105084 110376 121764 140112 142058 162352 182646 210168 213087 220752 243528 273969 284116 365292 420336 426174 487056 547938 568232 639261 730584 852348 1095876 1136464 1278522 1461168 1704696 1917783 2191752 2557044 3409392 3835566 4383504 5114088 7671132 10228176 15342264 30684528