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30684096 = 26351973
BaseRepresentation
bin111010100001…
…1001111000000
32010201220200000
41311003033000
530323342341
63013400000
7521545002
oct165031700
963656600
1030684096
1116358463
12a339000
136484491
14410a372
152a618b6
hex1d433c0

30684096 has 84 divisors (see below), whose sum is σ = 91254072. Its totient is φ = 10222848.

The previous prime is 30684083. The next prime is 30684097. The reversal of 30684096 is 69048603.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30684096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30684097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14566 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (1086358).

Almost surely, 230684096 is an apocalyptic number.

30684096 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 30684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627036).

30684096 is an abundant number, since it is smaller than the sum of its proper divisors (60569976).

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

30684096 is an equidigital number, since it uses as much as digits as its factorization.

30684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30684096 is about 5539.3227022805. The cubic root of 30684096 is about 313.0673503534.

It can be divided in two parts, 306840 and 96, that added together give a triangular number (306936 = T783).

The spelling of 30684096 in words is "thirty million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 1973 2592 3888 3946 5184 5919 7776 7892 11838 15552 15784 17757 23676 31568 35514 47352 53271 63136 71028 94704 106542 126272 142056 159813 189408 213084 284112 319626 378816 426168 479439 568224 639252 852336 958878 1136448 1278504 1704672 1917756 2557008 3409344 3835512 5114016 7671024 10228032 15342048 30684096