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3418404 = 22311192947
BaseRepresentation
bin1101000010100100100100
320102200011120
431002210210
51333342104
6201133540
741025123
oct15024444
96380146
103418404
111a25330
12118a2b0
13928c32
1464daba
15477cd9
hex342924

3418404 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 927360.

The previous prime is 3418403. The next prime is 3418439. The reversal of 3418404 is 4048143.

It is not an unprimeable number, because it can be changed into a prime (3418403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72709 + ... + 72755.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 23418404 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 3418404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3418404 is an abundant number, since it is smaller than the sum of its proper divisors (6258396).

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

3418404 is a wasteful number, since it uses less digits than its factorization.

3418404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3418404 is about 1848.8926415560. The cubic root of 3418404 is about 150.6402852322.

The spelling of 3418404 in words is "three million, four hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 47 57 58 66 76 87 94 114 116 132 141 174 188 209 228 282 319 348 418 517 551 564 627 638 836 893 957 1034 1102 1254 1276 1363 1551 1653 1786 1914 2068 2204 2508 2679 2726 3102 3306 3572 3828 4089 5358 5452 6061 6204 6612 8178 9823 10716 12122 14993 16356 18183 19646 24244 25897 29469 29986 36366 39292 44979 51794 58938 59972 72732 77691 89958 103588 117876 155382 179916 284867 310764 569734 854601 1139468 1709202 3418404