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18234480 = 2435116907
BaseRepresentation
bin100010110001…
…1110001110000
31021022102000010
41011203301300
514132000410
61450454520
7310663515
oct105436160
937272003
1018234480
11a324920
126134440
133a15944
1425c930c
151902c20
hex1163c70

18234480 has 80 divisors (see below), whose sum is σ = 61674624. Its totient is φ = 4419840.

The previous prime is 18234473. The next prime is 18234493. The reversal of 18234480 is 8443281.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 814 + ... + 6093.

Almost surely, 218234480 is an apocalyptic number.

18234480 is a gapful number since it is divisible by the number (10) 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 18234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30837312).

18234480 is an abundant number, since it is smaller than the sum of its proper divisors (43440144).

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

18234480 is a wasteful number, since it uses less digits than its factorization.

18234480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 18234480 is about 4270.1850077017. The cubic root of 18234480 is about 263.2072176462.

The spelling of 18234480 in words is "eighteen million, two hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6907 13814 20721 27628 34535 41442 55256 69070 75977 82884 103605 110512 138140 151954 165768 207210 227931 276280 303908 331536 379885 414420 455862 552560 607816 759770 828840 911724 1139655 1215632 1519540 1657680 1823448 2279310 3039080 3646896 4558620 6078160 9117240 18234480