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1413384 = 233747179
BaseRepresentation
bin101011001000100001000
32122210210120
411121010020
5330212014
650143240
715004440
oct5310410
92583716
101413384
11885995
12581b20
133a642b
1428b120
151cdba9
hex159108

1413384 has 64 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 393024.

The previous prime is 1413371. The next prime is 1413413. The reversal of 1413384 is 4833141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7807 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

21413384 is an apocalyptic number.

1413384 is a gapful number since it is divisible by the number (14) 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 1413384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1413384 is an abundant number, since it is smaller than the sum of its proper divisors (2733816).

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

1413384 is a wasteful number, since it uses less digits than its factorization.

1413384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1413384 is about 1188.8582758260. The cubic root of 1413384 is about 112.2242530684.

The spelling of 1413384 in words is "one million, four hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 179 188 282 329 358 376 537 564 658 716 987 1074 1128 1253 1316 1432 1974 2148 2506 2632 3759 3948 4296 5012 7518 7896 8413 10024 15036 16826 25239 30072 33652 50478 58891 67304 100956 117782 176673 201912 235564 353346 471128 706692 1413384