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2988414 = 235111343
BaseRepresentation
bin1011011001100101111110
312121211100000
423121211332
51231112124
6144015130
734254402
oct13314576
95554300
102988414
111761270
1210014a6
138082c0
1457b102
153e06c9
hex2d997e

2988414 has 96 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 816480.

The previous prime is 2988407. The next prime is 2988439. The reversal of 2988414 is 4148892.

Its product of digits (18432) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69477 + ... + 69519.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

22988414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

2988414 is an abundant number, since it is smaller than the sum of its proper divisors (5083650).

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

2988414 is a wasteful number, since it uses less digits than its factorization.

2988414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2988414 is about 1728.7029820070. The cubic root of 2988414 is about 144.0390519084.

The spelling of 2988414 in words is "two million, nine hundred eighty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 43 54 66 78 81 86 99 117 129 143 162 198 234 243 258 286 297 351 387 429 473 486 559 594 702 774 858 891 946 1053 1118 1161 1287 1419 1677 1782 2106 2322 2574 2673 2838 3159 3354 3483 3861 4257 5031 5346 6149 6318 6966 7722 8514 10062 10449 11583 12298 12771 15093 18447 20898 23166 25542 30186 34749 36894 38313 45279 55341 69498 76626 90558 110682 114939 135837 166023 229878 271674 332046 498069 996138 1494207 2988414