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18354414 = 2313223787
BaseRepresentation
bin100011000000…
…1000011101110
31021112111112010
41012001003232
514144320124
61453222050
7312003261
oct106010356
937474463
1018354414
11a3a6a41
126191926
133a58400
14261acd8
151928529
hex11810ee

18354414 has 48 divisors (see below), whose sum is σ = 41530752. Its totient is φ = 5395104.

The previous prime is 18354389. The next prime is 18354433. The reversal of 18354414 is 41445381.

18354414 = T379 + T380 + ... + T547.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22929 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (865224).

Almost surely, 218354414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18354414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765376).

18354414 is an abundant number, since it is smaller than the sum of its proper divisors (23176338).

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

18354414 is a wasteful number, since it uses less digits than its factorization.

18354414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 828 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 18354414 is about 4284.2051771595. The cubic root of 18354414 is about 263.7830230508.

Adding to 18354414 its reverse (41445381), we get a palindrome (59799795).

The spelling of 18354414 in words is "eighteen million, three hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 787 897 1014 1574 1794 2361 3887 4722 7774 10231 11661 18101 20462 23322 30693 36202 54303 61386 108606 133003 235313 266006 399009 470626 705939 798018 1411878 3059069 6118138 9177207 18354414