Search a number
-
+
429160644 = 2232119971087
BaseRepresentation
bin11001100101000…
…111100011000100
31002220112121201200
4121211013203010
51334331120034
6110330222500
713430543133
oct3145074304
91086477650
10429160644
11200282820
12bb884a30
136abb1513
1440dd591a
1527a23a99
hex199478c4

429160644 has 72 divisors (see below), whose sum is σ = 1185719808. Its totient is φ = 129798720.

The previous prime is 429160643. The next prime is 429160673. The reversal of 429160644 is 446061924.

429160644 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 6 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 429160599 and 429160608.

It is not an unprimeable number, because it can be changed into a prime (429160643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394269 + ... + 395355.

Almost surely, 2429160644 is an apocalyptic number.

429160644 is a gapful number since it is divisible by the number (44) 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 429160644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592859904).

429160644 is an abundant number, since it is smaller than the sum of its proper divisors (756559164).

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

429160644 is a wasteful number, since it uses less digits than its factorization.

429160644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 429160644 is about 20716.1927969403. The cubic root of 429160644 is about 754.2928009345.

The spelling of 429160644 in words is "four hundred twenty-nine million, one hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 997 1087 1994 2174 2991 3261 3988 4348 5982 6522 8973 9783 10967 11957 11964 13044 17946 19566 21934 23914 32901 35871 35892 39132 43868 47828 65802 71742 98703 107613 131604 143484 197406 215226 394812 430452 1083739 2167478 3251217 4334956 6502434 9753651 11921129 13004868 19507302 23842258 35763387 39014604 47684516 71526774 107290161 143053548 214580322 429160644