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18193434 = 2371783307
BaseRepresentation
bin100010101100…
…1110000011010
31021020022200220
41011121300122
514124142214
61445540510
7310433040
oct105316032
937208626
1018193434
11a2a6aa6
126114736
133a0005c
1425b8390
1518e59a9
hex1159c1a

18193434 has 64 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 4817664.

The previous prime is 18193421. The next prime is 18193453. The reversal of 18193434 is 43439181.

It is a junction number, because it is equal to n+sod(n) for n = 18193395 and 18193404.

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 31 ways as a sum of consecutive naturals, for example, 59109 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 218193434 is an apocalyptic number.

18193434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18193434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

18193434 is an abundant number, since it is smaller than the sum of its proper divisors (26513382).

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

18193434 is a wasteful number, since it uses less digits than its factorization.

18193434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its digits is 10368, while the sum is 33.

The square root of 18193434 is about 4265.3761850510. The cubic root of 18193434 is about 263.0095752320.

It can be divided in two parts, 1819 and 3434, that added together give a triangular number (5253 = T102).

The spelling of 18193434 in words is "eighteen million, one hundred ninety-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 83 102 119 166 238 249 307 357 498 581 614 714 921 1162 1411 1743 1842 2149 2822 3486 4233 4298 5219 6447 8466 9877 10438 12894 15657 19754 25481 29631 31314 36533 50962 59262 73066 76443 109599 152886 178367 219198 356734 433177 535101 866354 1070202 1299531 2599062 3032239 6064478 9096717 18193434