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30854480 = 2451953383
BaseRepresentation
bin111010110110…
…0110101010000
32011001120101112
41311230311100
530344320410
63021152452
7523154516
oct165546520
964046345
1030854480
1116464478
12a3bb728
136513bb7
1441524b6
152a97105
hex1d6cd50

30854480 has 80 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 11441664.

The previous prime is 30854459. The next prime is 30854489. The reversal of 30854480 is 8445803.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30854489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80369 + ... + 80751.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 230854480 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 30854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

30854480 is an abundant number, since it is smaller than the sum of its proper divisors (46283440).

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

30854480 is a wasteful number, since it uses less digits than its factorization.

30854480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 30854480 is about 5554.6809089272. The cubic root of 30854480 is about 313.6457524701.

The spelling of 30854480 in words is "thirty million, eight hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 383 424 530 760 766 848 1007 1060 1520 1532 1915 2014 2120 3064 3830 4028 4240 5035 6128 7277 7660 8056 10070 14554 15320 16112 20140 20299 29108 30640 36385 40280 40598 58216 72770 80560 81196 101495 116432 145540 162392 202990 291080 324784 385681 405980 582160 771362 811960 1542724 1623920 1928405 3085448 3856810 6170896 7713620 15427240 30854480