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1429384 = 231137439
BaseRepresentation
bin101011100111110001000
32200121202011
411130332020
5331220014
650345304
715102205
oct5347610
92617664
101429384
11896a10
1258b234
133b07b8
14292cac
151d37c4
hex15cf88

1429384 has 32 divisors (see below), whose sum is σ = 3009600. Its totient is φ = 630720.

The previous prime is 1429369. The next prime is 1429387. The reversal of 1429384 is 4839241.

It is not an unprimeable number, because it can be changed into a prime (1429387) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3037 + ... + 3475.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

21429384 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 1429384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504800).

1429384 is an abundant number, since it is smaller than the sum of its proper divisors (1580216).

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

1429384 is a wasteful number, since it uses less digits than its factorization.

1429384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 1429384 is about 1195.5684840276. The cubic root of 1429384 is about 112.6461376568.

It can be divided in two parts, 142 and 9384, that multiplied together give a triangular number (1332528 = T1632).

The spelling of 1429384 in words is "one million, four hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 439 814 878 1628 1756 3256 3512 4829 9658 16243 19316 32486 38632 64972 129944 178673 357346 714692 1429384